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Finding the Fourth Proportional to 3,875.54, 5,348.30 and 2,382.57

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Solution

The fourth proportional to 3,875.54, 5,348.30 and 2,382.57 is: 3,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.54 : 5,348.30 = 2,382.57 : x
  2. Step 2: Convert to fraction form
    3,875.54/5,348.30 = 2,382.57/x
  3. Step 3: Cross multiply
    3,875.54x = 5,348.30 × 2,382.57
  4. Step 4: Simplify right side
    3,875.54x = 12,742,687.22
  5. Step 5: Solve for x
    x = 12,742,687.22/3,875.54
  6. Step 6: Final answer
    x = 3,287.98

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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.