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Finding the Fourth Proportional to 3,497.86, 5,247.69 and 1,032.58

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Solution

The fourth proportional to 3,497.86, 5,247.69 and 1,032.58 is: 1,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.86 : 5,247.69 = 1,032.58 : x
  2. Step 2: Convert to fraction form
    3,497.86/5,247.69 = 1,032.58/x
  3. Step 3: Cross multiply
    3,497.86x = 5,247.69 × 1,032.58
  4. Step 4: Simplify right side
    3,497.86x = 5,418,659.74
  5. Step 5: Solve for x
    x = 5,418,659.74/3,497.86
  6. Step 6: Final answer
    x = 1,549.14

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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.