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Finding the Fourth Proportional to 3,913.08, 5,869.40 and 991.20

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Solution

The fourth proportional to 3,913.08, 5,869.40 and 991.20 is: 1,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.08 : 5,869.40 = 991.20 : x
  2. Step 2: Convert to fraction form
    3,913.08/5,869.40 = 991.20/x
  3. Step 3: Cross multiply
    3,913.08x = 5,869.40 × 991.20
  4. Step 4: Simplify right side
    3,913.08x = 5,817,749.28
  5. Step 5: Solve for x
    x = 5,817,749.28/3,913.08
  6. Step 6: Final answer
    x = 1,486.74

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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.