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Finding the Fourth Proportional to 3,856.47, 5,320.15 and 2,283.63

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Solution

The fourth proportional to 3,856.47, 5,320.15 and 2,283.63 is: 3,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.47 : 5,320.15 = 2,283.63 : x
  2. Step 2: Convert to fraction form
    3,856.47/5,320.15 = 2,283.63/x
  3. Step 3: Cross multiply
    3,856.47x = 5,320.15 × 2,283.63
  4. Step 4: Simplify right side
    3,856.47x = 12,149,254.14
  5. Step 5: Solve for x
    x = 12,149,254.14/3,856.47
  6. Step 6: Final answer
    x = 3,150.36

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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.