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Finding the Fourth Proportional to 4,689.59, 6,462.47 and 4,236.53

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Solution

The fourth proportional to 4,689.59, 6,462.47 and 4,236.53 is: 5,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.59 : 6,462.47 = 4,236.53 : x
  2. Step 2: Convert to fraction form
    4,689.59/6,462.47 = 4,236.53/x
  3. Step 3: Cross multiply
    4,689.59x = 6,462.47 × 4,236.53
  4. Step 4: Simplify right side
    4,689.59x = 27,378,426.85
  5. Step 5: Solve for x
    x = 27,378,426.85/4,689.59
  6. Step 6: Final answer
    x = 5,838.13

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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.