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Finding the Fourth Proportional to 5,654.60, 7,780.40 and 4,642.58

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Solution

The fourth proportional to 5,654.60, 7,780.40 and 4,642.58 is: 6,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.60 : 7,780.40 = 4,642.58 : x
  2. Step 2: Convert to fraction form
    5,654.60/7,780.40 = 4,642.58/x
  3. Step 3: Cross multiply
    5,654.60x = 7,780.40 × 4,642.58
  4. Step 4: Simplify right side
    5,654.60x = 36,121,090.53
  5. Step 5: Solve for x
    x = 36,121,090.53/5,654.60
  6. Step 6: Final answer
    x = 6,387.92

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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.