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Finding the Fourth Proportional to 5,862.77, 8,781.07 and 4,537.50

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Solution

The fourth proportional to 5,862.77, 8,781.07 and 4,537.50 is: 6,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.77 : 8,781.07 = 4,537.50 : x
  2. Step 2: Convert to fraction form
    5,862.77/8,781.07 = 4,537.50/x
  3. Step 3: Cross multiply
    5,862.77x = 8,781.07 × 4,537.50
  4. Step 4: Simplify right side
    5,862.77x = 39,844,105.13
  5. Step 5: Solve for x
    x = 39,844,105.13/5,862.77
  6. Step 6: Final answer
    x = 6,796.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.