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Finding the Fourth Proportional to 5,974.02, 8,964.54 and 5,332.50

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Solution

The fourth proportional to 5,974.02, 8,964.54 and 5,332.50 is: 8,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.02 : 8,964.54 = 5,332.50 : x
  2. Step 2: Convert to fraction form
    5,974.02/8,964.54 = 5,332.50/x
  3. Step 3: Cross multiply
    5,974.02x = 8,964.54 × 5,332.50
  4. Step 4: Simplify right side
    5,974.02x = 47,803,409.55
  5. Step 5: Solve for x
    x = 47,803,409.55/5,974.02
  6. Step 6: Final answer
    x = 8,001.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.