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Finding the Fourth Proportional to 5,642,950.16, 7,787,316.98 and 3,064,649.39

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Solution

The fourth proportional to 5,642,950.16, 7,787,316.98 and 3,064,649.39 is: 4,229,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,950.16 : 7,787,316.98 = 3,064,649.39 : x
  2. Step 2: Convert to fraction form
    5,642,950.16/7,787,316.98 = 3,064,649.39/x
  3. Step 3: Cross multiply
    5,642,950.16x = 7,787,316.98 × 3,064,649.39
  4. Step 4: Simplify right side
    5,642,950.16x = 23,865,396,232,493.64
  5. Step 5: Solve for x
    x = 23,865,396,232,493.64/5,642,950.16
  6. Step 6: Final answer
    x = 4,229,241.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.