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Finding the Fourth Proportional to 5,702.38, 8,534.10 and 4,778.98

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Solution

The fourth proportional to 5,702.38, 8,534.10 and 4,778.98 is: 7,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.38 : 8,534.10 = 4,778.98 : x
  2. Step 2: Convert to fraction form
    5,702.38/8,534.10 = 4,778.98/x
  3. Step 3: Cross multiply
    5,702.38x = 8,534.10 × 4,778.98
  4. Step 4: Simplify right side
    5,702.38x = 40,784,293.22
  5. Step 5: Solve for x
    x = 40,784,293.22/5,702.38
  6. Step 6: Final answer
    x = 7,152.15

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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.