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Finding the Fourth Proportional to 4,649.51, 6,410.90 and 3,468.53

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Solution

The fourth proportional to 4,649.51, 6,410.90 and 3,468.53 is: 4,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.51 : 6,410.90 = 3,468.53 : x
  2. Step 2: Convert to fraction form
    4,649.51/6,410.90 = 3,468.53/x
  3. Step 3: Cross multiply
    4,649.51x = 6,410.90 × 3,468.53
  4. Step 4: Simplify right side
    4,649.51x = 22,236,349.58
  5. Step 5: Solve for x
    x = 22,236,349.58/4,649.51
  6. Step 6: Final answer
    x = 4,782.52

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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.