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Finding the Fourth Proportional to 4,649.58, 6,416.40 and 2,525.17

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Solution

The fourth proportional to 4,649.58, 6,416.40 and 2,525.17 is: 3,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.58 : 6,416.40 = 2,525.17 : x
  2. Step 2: Convert to fraction form
    4,649.58/6,416.40 = 2,525.17/x
  3. Step 3: Cross multiply
    4,649.58x = 6,416.40 × 2,525.17
  4. Step 4: Simplify right side
    4,649.58x = 16,202,500.79
  5. Step 5: Solve for x
    x = 16,202,500.79/4,649.58
  6. Step 6: Final answer
    x = 3,484.72

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