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Finding the Fourth Proportional to 5,654.68, 7,802.53 and 3,529.85

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Solution

The fourth proportional to 5,654.68, 7,802.53 and 3,529.85 is: 4,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.68 : 7,802.53 = 3,529.85 : x
  2. Step 2: Convert to fraction form
    5,654.68/7,802.53 = 3,529.85/x
  3. Step 3: Cross multiply
    5,654.68x = 7,802.53 × 3,529.85
  4. Step 4: Simplify right side
    5,654.68x = 27,541,712.68
  5. Step 5: Solve for x
    x = 27,541,712.68/5,654.68
  6. Step 6: Final answer
    x = 4,870.61

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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.