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Finding the Fourth Proportional to 5,301.28, 7,952 and 1,838.60

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Solution

The fourth proportional to 5,301.28, 7,952 and 1,838.60 is: 2,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.28 : 7,952 = 1,838.60 : x
  2. Step 2: Convert to fraction form
    5,301.28/7,952 = 1,838.60/x
  3. Step 3: Cross multiply
    5,301.28x = 7,952 × 1,838.60
  4. Step 4: Simplify right side
    5,301.28x = 14,620,547.20
  5. Step 5: Solve for x
    x = 14,620,547.20/5,301.28
  6. Step 6: Final answer
    x = 2,757.93

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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.