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Finding the Fourth Proportional to 5,702.72, 7,873.23 and 5,349.76

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Solution

The fourth proportional to 5,702.72, 7,873.23 and 5,349.76 is: 7,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.72 : 7,873.23 = 5,349.76 : x
  2. Step 2: Convert to fraction form
    5,702.72/7,873.23 = 5,349.76/x
  3. Step 3: Cross multiply
    5,702.72x = 7,873.23 × 5,349.76
  4. Step 4: Simplify right side
    5,702.72x = 42,119,935.59
  5. Step 5: Solve for x
    x = 42,119,935.59/5,702.72
  6. Step 6: Final answer
    x = 7,385.94

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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.