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Finding the Fourth Proportional to 3,881.32, 5,823.52 and 1,416.30

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Solution

The fourth proportional to 3,881.32, 5,823.52 and 1,416.30 is: 2,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.32 : 5,823.52 = 1,416.30 : x
  2. Step 2: Convert to fraction form
    3,881.32/5,823.52 = 1,416.30/x
  3. Step 3: Cross multiply
    3,881.32x = 5,823.52 × 1,416.30
  4. Step 4: Simplify right side
    3,881.32x = 8,247,851.38
  5. Step 5: Solve for x
    x = 8,247,851.38/3,881.32
  6. Step 6: Final answer
    x = 2,125.01

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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.