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Finding the Fourth Proportional to 3,862.68, 5,784.42 and 3,534.96

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Solution

The fourth proportional to 3,862.68, 5,784.42 and 3,534.96 is: 5,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.68 : 5,784.42 = 3,534.96 : x
  2. Step 2: Convert to fraction form
    3,862.68/5,784.42 = 3,534.96/x
  3. Step 3: Cross multiply
    3,862.68x = 5,784.42 × 3,534.96
  4. Step 4: Simplify right side
    3,862.68x = 20,447,693.32
  5. Step 5: Solve for x
    x = 20,447,693.32/3,862.68
  6. Step 6: Final answer
    x = 5,293.65

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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.