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Finding the Fourth Proportional to 3,473.16, 5,209.14 and 1,007.46

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Solution

The fourth proportional to 3,473.16, 5,209.14 and 1,007.46 is: 1,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.16 : 5,209.14 = 1,007.46 : x
  2. Step 2: Convert to fraction form
    3,473.16/5,209.14 = 1,007.46/x
  3. Step 3: Cross multiply
    3,473.16x = 5,209.14 × 1,007.46
  4. Step 4: Simplify right side
    3,473.16x = 5,248,000.18
  5. Step 5: Solve for x
    x = 5,248,000.18/3,473.16
  6. Step 6: Final answer
    x = 1,511.02

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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.