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Finding the Fourth Proportional to 5,358.59, 7,394.64 and 3,000.61

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Solution

The fourth proportional to 5,358.59, 7,394.64 and 3,000.61 is: 4,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.59 : 7,394.64 = 3,000.61 : x
  2. Step 2: Convert to fraction form
    5,358.59/7,394.64 = 3,000.61/x
  3. Step 3: Cross multiply
    5,358.59x = 7,394.64 × 3,000.61
  4. Step 4: Simplify right side
    5,358.59x = 22,188,393.76
  5. Step 5: Solve for x
    x = 22,188,393.76/5,358.59
  6. Step 6: Final answer
    x = 4,140.72

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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.