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Finding the Fourth Proportional to 5,352.71, 7,999.41 and 4,301.13

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Solution

The fourth proportional to 5,352.71, 7,999.41 and 4,301.13 is: 6,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.71 : 7,999.41 = 4,301.13 : x
  2. Step 2: Convert to fraction form
    5,352.71/7,999.41 = 4,301.13/x
  3. Step 3: Cross multiply
    5,352.71x = 7,999.41 × 4,301.13
  4. Step 4: Simplify right side
    5,352.71x = 34,406,480.83
  5. Step 5: Solve for x
    x = 34,406,480.83/5,352.71
  6. Step 6: Final answer
    x = 6,427.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.