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Finding the Fourth Proportional to 5,702.46, 8,538.76 and 4,585.94

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Solution

The fourth proportional to 5,702.46, 8,538.76 and 4,585.94 is: 6,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.46 : 8,538.76 = 4,585.94 : x
  2. Step 2: Convert to fraction form
    5,702.46/8,538.76 = 4,585.94/x
  3. Step 3: Cross multiply
    5,702.46x = 8,538.76 × 4,585.94
  4. Step 4: Simplify right side
    5,702.46x = 39,158,241.03
  5. Step 5: Solve for x
    x = 39,158,241.03/5,702.46
  6. Step 6: Final answer
    x = 6,866.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.