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Finding the Fourth Proportional to 3,816.78, 5,725.17 and 1,870.35

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Solution

The fourth proportional to 3,816.78, 5,725.17 and 1,870.35 is: 2,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.78 : 5,725.17 = 1,870.35 : x
  2. Step 2: Convert to fraction form
    3,816.78/5,725.17 = 1,870.35/x
  3. Step 3: Cross multiply
    3,816.78x = 5,725.17 × 1,870.35
  4. Step 4: Simplify right side
    3,816.78x = 10,708,071.71
  5. Step 5: Solve for x
    x = 10,708,071.71/3,816.78
  6. Step 6: Final answer
    x = 2,805.53

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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.