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Finding the Fourth Proportional to 3,886.85, 5,830.13 and 1,254.45

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Solution

The fourth proportional to 3,886.85, 5,830.13 and 1,254.45 is: 1,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.85 : 5,830.13 = 1,254.45 : x
  2. Step 2: Convert to fraction form
    3,886.85/5,830.13 = 1,254.45/x
  3. Step 3: Cross multiply
    3,886.85x = 5,830.13 × 1,254.45
  4. Step 4: Simplify right side
    3,886.85x = 7,313,600.31
  5. Step 5: Solve for x
    x = 7,313,600.31/3,886.85
  6. Step 6: Final answer
    x = 1,881.63

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