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Finding the Fourth Proportional to 3,147.46, 4,717.95 and 1,417.30

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Solution

The fourth proportional to 3,147.46, 4,717.95 and 1,417.30 is: 2,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.46 : 4,717.95 = 1,417.30 : x
  2. Step 2: Convert to fraction form
    3,147.46/4,717.95 = 1,417.30/x
  3. Step 3: Cross multiply
    3,147.46x = 4,717.95 × 1,417.30
  4. Step 4: Simplify right side
    3,147.46x = 6,686,750.54
  5. Step 5: Solve for x
    x = 6,686,750.54/3,147.46
  6. Step 6: Final answer
    x = 2,124.49

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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.