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Finding the Fourth Proportional to 5,854.42, 8,072.17 and 4,731.87

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Solution

The fourth proportional to 5,854.42, 8,072.17 and 4,731.87 is: 6,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.42 : 8,072.17 = 4,731.87 : x
  2. Step 2: Convert to fraction form
    5,854.42/8,072.17 = 4,731.87/x
  3. Step 3: Cross multiply
    5,854.42x = 8,072.17 × 4,731.87
  4. Step 4: Simplify right side
    5,854.42x = 38,196,459.06
  5. Step 5: Solve for x
    x = 38,196,459.06/5,854.42
  6. Step 6: Final answer
    x = 6,524.38

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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.