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Finding the Fourth Proportional to 3,816.74, 5,725.92 and 1,318.16

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Solution

The fourth proportional to 3,816.74, 5,725.92 and 1,318.16 is: 1,977.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.74 : 5,725.92 = 1,318.16 : x
  2. Step 2: Convert to fraction form
    3,816.74/5,725.92 = 1,318.16/x
  3. Step 3: Cross multiply
    3,816.74x = 5,725.92 × 1,318.16
  4. Step 4: Simplify right side
    3,816.74x = 7,547,678.71
  5. Step 5: Solve for x
    x = 7,547,678.71/3,816.74
  6. Step 6: Final answer
    x = 1,977.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.