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Finding the Fourth Proportional to 5,298.46, 7,956.16 and 4,372

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Solution

The fourth proportional to 5,298.46, 7,956.16 and 4,372 is: 6,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.46 : 7,956.16 = 4,372 : x
  2. Step 2: Convert to fraction form
    5,298.46/7,956.16 = 4,372/x
  3. Step 3: Cross multiply
    5,298.46x = 7,956.16 × 4,372
  4. Step 4: Simplify right side
    5,298.46x = 34,784,331.52
  5. Step 5: Solve for x
    x = 34,784,331.52/5,298.46
  6. Step 6: Final answer
    x = 6,564.99

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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.