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Finding the Fourth Proportional to 5,862.90, 8,085.53 and 3,875.46

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Solution

The fourth proportional to 5,862.90, 8,085.53 and 3,875.46 is: 5,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.90 : 8,085.53 = 3,875.46 : x
  2. Step 2: Convert to fraction form
    5,862.90/8,085.53 = 3,875.46/x
  3. Step 3: Cross multiply
    5,862.90x = 8,085.53 × 3,875.46
  4. Step 4: Simplify right side
    5,862.90x = 31,335,128.72
  5. Step 5: Solve for x
    x = 31,335,128.72/5,862.90
  6. Step 6: Final answer
    x = 5,344.65

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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.