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Finding the Fourth Proportional to 5,631.76, 7,774.60 and 3,537.04

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Solution

The fourth proportional to 5,631.76, 7,774.60 and 3,537.04 is: 4,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.76 : 7,774.60 = 3,537.04 : x
  2. Step 2: Convert to fraction form
    5,631.76/7,774.60 = 3,537.04/x
  3. Step 3: Cross multiply
    5,631.76x = 7,774.60 × 3,537.04
  4. Step 4: Simplify right side
    5,631.76x = 27,499,071.18
  5. Step 5: Solve for x
    x = 27,499,071.18/5,631.76
  6. Step 6: Final answer
    x = 4,882.86

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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.