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Finding the Fourth Proportional to 5,686.35, 8,507.25 and 3,742.35

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Solution

The fourth proportional to 5,686.35, 8,507.25 and 3,742.35 is: 5,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.35 : 8,507.25 = 3,742.35 : x
  2. Step 2: Convert to fraction form
    5,686.35/8,507.25 = 3,742.35/x
  3. Step 3: Cross multiply
    5,686.35x = 8,507.25 × 3,742.35
  4. Step 4: Simplify right side
    5,686.35x = 31,837,107.04
  5. Step 5: Solve for x
    x = 31,837,107.04/5,686.35
  6. Step 6: Final answer
    x = 5,598.87

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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.