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Finding the Fourth Proportional to 5,065.74, 6,991.46 and 3,654.11

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Solution

The fourth proportional to 5,065.74, 6,991.46 and 3,654.11 is: 5,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.74 : 6,991.46 = 3,654.11 : x
  2. Step 2: Convert to fraction form
    5,065.74/6,991.46 = 3,654.11/x
  3. Step 3: Cross multiply
    5,065.74x = 6,991.46 × 3,654.11
  4. Step 4: Simplify right side
    5,065.74x = 25,547,510.67
  5. Step 5: Solve for x
    x = 25,547,510.67/5,065.74
  6. Step 6: Final answer
    x = 5,043.19

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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.