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Finding the Fourth Proportional to 4,098.55, 5,655.87 and 2,330.72

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Solution

The fourth proportional to 4,098.55, 5,655.87 and 2,330.72 is: 3,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.55 : 5,655.87 = 2,330.72 : x
  2. Step 2: Convert to fraction form
    4,098.55/5,655.87 = 2,330.72/x
  3. Step 3: Cross multiply
    4,098.55x = 5,655.87 × 2,330.72
  4. Step 4: Simplify right side
    4,098.55x = 13,182,251.81
  5. Step 5: Solve for x
    x = 13,182,251.81/4,098.55
  6. Step 6: Final answer
    x = 3,216.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.