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Finding the Fourth Proportional to 3,473.40, 5,210.12 and 876.36

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Solution

The fourth proportional to 3,473.40, 5,210.12 and 876.36 is: 1,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.40 : 5,210.12 = 876.36 : x
  2. Step 2: Convert to fraction form
    3,473.40/5,210.12 = 876.36/x
  3. Step 3: Cross multiply
    3,473.40x = 5,210.12 × 876.36
  4. Step 4: Simplify right side
    3,473.40x = 4,565,940.76
  5. Step 5: Solve for x
    x = 4,565,940.76/3,473.40
  6. Step 6: Final answer
    x = 1,314.55

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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.