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Finding the Fourth Proportional to 5,461.71, 7,538.03 and 3,338.48

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Solution

The fourth proportional to 5,461.71, 7,538.03 and 3,338.48 is: 4,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.71 : 7,538.03 = 3,338.48 : x
  2. Step 2: Convert to fraction form
    5,461.71/7,538.03 = 3,338.48/x
  3. Step 3: Cross multiply
    5,461.71x = 7,538.03 × 3,338.48
  4. Step 4: Simplify right side
    5,461.71x = 25,165,508.01
  5. Step 5: Solve for x
    x = 25,165,508.01/5,461.71
  6. Step 6: Final answer
    x = 4,607.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.