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Finding the Fourth Proportional to 5,702.40, 8,543.27 and 4,783.86

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Solution

The fourth proportional to 5,702.40, 8,543.27 and 4,783.86 is: 7,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.40 : 8,543.27 = 4,783.86 : x
  2. Step 2: Convert to fraction form
    5,702.40/8,543.27 = 4,783.86/x
  3. Step 3: Cross multiply
    5,702.40x = 8,543.27 × 4,783.86
  4. Step 4: Simplify right side
    5,702.40x = 40,869,819.58
  5. Step 5: Solve for x
    x = 40,869,819.58/5,702.40
  6. Step 6: Final answer
    x = 7,167.13

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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.