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Finding the Fourth Proportional to 5,254.72, 7,882.54 and 1,506.52

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Solution

The fourth proportional to 5,254.72, 7,882.54 and 1,506.52 is: 2,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.72 : 7,882.54 = 1,506.52 : x
  2. Step 2: Convert to fraction form
    5,254.72/7,882.54 = 1,506.52/x
  3. Step 3: Cross multiply
    5,254.72x = 7,882.54 × 1,506.52
  4. Step 4: Simplify right side
    5,254.72x = 11,875,236.65
  5. Step 5: Solve for x
    x = 11,875,236.65/5,254.72
  6. Step 6: Final answer
    x = 2,259.92

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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.