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Finding the Fourth Proportional to 7,271.64, 10,897.20 and 3,937.68

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Solution

The fourth proportional to 7,271.64, 10,897.20 and 3,937.68 is: 5,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.64 : 10,897.20 = 3,937.68 : x
  2. Step 2: Convert to fraction form
    7,271.64/10,897.20 = 3,937.68/x
  3. Step 3: Cross multiply
    7,271.64x = 10,897.20 × 3,937.68
  4. Step 4: Simplify right side
    7,271.64x = 42,909,686.50
  5. Step 5: Solve for x
    x = 42,909,686.50/7,271.64
  6. Step 6: Final answer
    x = 5,900.96

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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.