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Finding the Fourth Proportional to 3,886.24, 5,829.56 and 1,113.32

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Solution

The fourth proportional to 3,886.24, 5,829.56 and 1,113.32 is: 1,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.24 : 5,829.56 = 1,113.32 : x
  2. Step 2: Convert to fraction form
    3,886.24/5,829.56 = 1,113.32/x
  3. Step 3: Cross multiply
    3,886.24x = 5,829.56 × 1,113.32
  4. Step 4: Simplify right side
    3,886.24x = 6,490,165.74
  5. Step 5: Solve for x
    x = 6,490,165.74/3,886.24
  6. Step 6: Final answer
    x = 1,670.04

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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.