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Finding the Fourth Proportional to 3,881.64, 5,822.40 and 1,284.78

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Solution

The fourth proportional to 3,881.64, 5,822.40 and 1,284.78 is: 1,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.64 : 5,822.40 = 1,284.78 : x
  2. Step 2: Convert to fraction form
    3,881.64/5,822.40 = 1,284.78/x
  3. Step 3: Cross multiply
    3,881.64x = 5,822.40 × 1,284.78
  4. Step 4: Simplify right side
    3,881.64x = 7,480,503.07
  5. Step 5: Solve for x
    x = 7,480,503.07/3,881.64
  6. Step 6: Final answer
    x = 1,927.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.