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Finding the Fourth Proportional to 5,279.78, 7,921.02 and 1,582

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Solution

The fourth proportional to 5,279.78, 7,921.02 and 1,582 is: 2,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.78 : 7,921.02 = 1,582 : x
  2. Step 2: Convert to fraction form
    5,279.78/7,921.02 = 1,582/x
  3. Step 3: Cross multiply
    5,279.78x = 7,921.02 × 1,582
  4. Step 4: Simplify right side
    5,279.78x = 12,531,053.64
  5. Step 5: Solve for x
    x = 12,531,053.64/5,279.78
  6. Step 6: Final answer
    x = 2,373.40

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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.