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Finding the Fourth Proportional to 4,854.78, 7,283.80 and 1,932.30

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Solution

The fourth proportional to 4,854.78, 7,283.80 and 1,932.30 is: 2,899.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.78 : 7,283.80 = 1,932.30 : x
  2. Step 2: Convert to fraction form
    4,854.78/7,283.80 = 1,932.30/x
  3. Step 3: Cross multiply
    4,854.78x = 7,283.80 × 1,932.30
  4. Step 4: Simplify right side
    4,854.78x = 14,074,486.74
  5. Step 5: Solve for x
    x = 14,074,486.74/4,854.78
  6. Step 6: Final answer
    x = 2,899.10

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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.