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Finding the Fourth Proportional to 3,707.68, 5,116.54 and 2,135.76

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Solution

The fourth proportional to 3,707.68, 5,116.54 and 2,135.76 is: 2,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.68 : 5,116.54 = 2,135.76 : x
  2. Step 2: Convert to fraction form
    3,707.68/5,116.54 = 2,135.76/x
  3. Step 3: Cross multiply
    3,707.68x = 5,116.54 × 2,135.76
  4. Step 4: Simplify right side
    3,707.68x = 10,927,701.47
  5. Step 5: Solve for x
    x = 10,927,701.47/3,707.68
  6. Step 6: Final answer
    x = 2,947.32

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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.