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Finding the Fourth Proportional to 4,434.48, 6,117.48 and 2,862

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Solution

The fourth proportional to 4,434.48, 6,117.48 and 2,862 is: 3,948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.48 : 6,117.48 = 2,862 : x
  2. Step 2: Convert to fraction form
    4,434.48/6,117.48 = 2,862/x
  3. Step 3: Cross multiply
    4,434.48x = 6,117.48 × 2,862
  4. Step 4: Simplify right side
    4,434.48x = 17,508,227.76
  5. Step 5: Solve for x
    x = 17,508,227.76/4,434.48
  6. Step 6: Final answer
    x = 3,948.20

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