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Finding the Fourth Proportional to 3,681.84, 5,081.88 and 2,283.78

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Solution

The fourth proportional to 3,681.84, 5,081.88 and 2,283.78 is: 3,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.84 : 5,081.88 = 2,283.78 : x
  2. Step 2: Convert to fraction form
    3,681.84/5,081.88 = 2,283.78/x
  3. Step 3: Cross multiply
    3,681.84x = 5,081.88 × 2,283.78
  4. Step 4: Simplify right side
    3,681.84x = 11,605,895.91
  5. Step 5: Solve for x
    x = 11,605,895.91/3,681.84
  6. Step 6: Final answer
    x = 3,152.20

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1.5x scale

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.