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Finding the Fourth Proportional to 5,702.48, 8,554.22 and 1,542.47

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Solution

The fourth proportional to 5,702.48, 8,554.22 and 1,542.47 is: 2,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.48 : 8,554.22 = 1,542.47 : x
  2. Step 2: Convert to fraction form
    5,702.48/8,554.22 = 1,542.47/x
  3. Step 3: Cross multiply
    5,702.48x = 8,554.22 × 1,542.47
  4. Step 4: Simplify right side
    5,702.48x = 13,194,641.40
  5. Step 5: Solve for x
    x = 13,194,641.40/5,702.48
  6. Step 6: Final answer
    x = 2,313.84

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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.