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Finding the Fourth Proportional to 4,646.47, 6,410.56 and 2,655.62

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Solution

The fourth proportional to 4,646.47, 6,410.56 and 2,655.62 is: 3,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.47 : 6,410.56 = 2,655.62 : x
  2. Step 2: Convert to fraction form
    4,646.47/6,410.56 = 2,655.62/x
  3. Step 3: Cross multiply
    4,646.47x = 6,410.56 × 2,655.62
  4. Step 4: Simplify right side
    4,646.47x = 17,023,966.02
  5. Step 5: Solve for x
    x = 17,023,966.02/4,646.47
  6. Step 6: Final answer
    x = 3,663.85

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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.