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Finding the Fourth Proportional to 5,702.55, 8,542.67 and 5,083.35

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Solution

The fourth proportional to 5,702.55, 8,542.67 and 5,083.35 is: 7,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.55 : 8,542.67 = 5,083.35 : x
  2. Step 2: Convert to fraction form
    5,702.55/8,542.67 = 5,083.35/x
  3. Step 3: Cross multiply
    5,702.55x = 8,542.67 × 5,083.35
  4. Step 4: Simplify right side
    5,702.55x = 43,425,356.13
  5. Step 5: Solve for x
    x = 43,425,356.13/5,702.55
  6. Step 6: Final answer
    x = 7,615.08

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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.