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Finding the Fourth Proportional to 3,244.71, 4,867.10 and 1,053.45

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Solution

The fourth proportional to 3,244.71, 4,867.10 and 1,053.45 is: 1,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.71 : 4,867.10 = 1,053.45 : x
  2. Step 2: Convert to fraction form
    3,244.71/4,867.10 = 1,053.45/x
  3. Step 3: Cross multiply
    3,244.71x = 4,867.10 × 1,053.45
  4. Step 4: Simplify right side
    3,244.71x = 5,127,241.23
  5. Step 5: Solve for x
    x = 5,127,241.23/3,244.71
  6. Step 6: Final answer
    x = 1,580.18

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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.