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Finding the Fourth Proportional to 3,886.40, 5,829.78 and 1,113.48

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Solution

The fourth proportional to 3,886.40, 5,829.78 and 1,113.48 is: 1,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.40 : 5,829.78 = 1,113.48 : x
  2. Step 2: Convert to fraction form
    3,886.40/5,829.78 = 1,113.48/x
  3. Step 3: Cross multiply
    3,886.40x = 5,829.78 × 1,113.48
  4. Step 4: Simplify right side
    3,886.40x = 6,491,343.43
  5. Step 5: Solve for x
    x = 6,491,343.43/3,886.40
  6. Step 6: Final answer
    x = 1,670.27

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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.