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Finding the Fourth Proportional to 3,903.84, 5,387.36 and 2,332

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Solution

The fourth proportional to 3,903.84, 5,387.36 and 2,332 is: 3,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.84 : 5,387.36 = 2,332 : x
  2. Step 2: Convert to fraction form
    3,903.84/5,387.36 = 2,332/x
  3. Step 3: Cross multiply
    3,903.84x = 5,387.36 × 2,332
  4. Step 4: Simplify right side
    3,903.84x = 12,563,323.52
  5. Step 5: Solve for x
    x = 12,563,323.52/3,903.84
  6. Step 6: Final answer
    x = 3,218.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.