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Finding the Fourth Proportional to 5,948.72, 8,923 and 2,053.12

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Solution

The fourth proportional to 5,948.72, 8,923 and 2,053.12 is: 3,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.72 : 8,923 = 2,053.12 : x
  2. Step 2: Convert to fraction form
    5,948.72/8,923 = 2,053.12/x
  3. Step 3: Cross multiply
    5,948.72x = 8,923 × 2,053.12
  4. Step 4: Simplify right side
    5,948.72x = 18,319,989.76
  5. Step 5: Solve for x
    x = 18,319,989.76/5,948.72
  6. Step 6: Final answer
    x = 3,079.65

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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.