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Finding the Fourth Proportional to 3,901.68, 5,384.16 and 2,330.64

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Solution

The fourth proportional to 3,901.68, 5,384.16 and 2,330.64 is: 3,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.68 : 5,384.16 = 2,330.64 : x
  2. Step 2: Convert to fraction form
    3,901.68/5,384.16 = 2,330.64/x
  3. Step 3: Cross multiply
    3,901.68x = 5,384.16 × 2,330.64
  4. Step 4: Simplify right side
    3,901.68x = 12,548,538.66
  5. Step 5: Solve for x
    x = 12,548,538.66/3,901.68
  6. Step 6: Final answer
    x = 3,216.19

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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.