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Finding the Fourth Proportional to 3,849.60, 5,312 and 2,277.76

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Solution

The fourth proportional to 3,849.60, 5,312 and 2,277.76 is: 3,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.60 : 5,312 = 2,277.76 : x
  2. Step 2: Convert to fraction form
    3,849.60/5,312 = 2,277.76/x
  3. Step 3: Cross multiply
    3,849.60x = 5,312 × 2,277.76
  4. Step 4: Simplify right side
    3,849.60x = 12,099,461.12
  5. Step 5: Solve for x
    x = 12,099,461.12/3,849.60
  6. Step 6: Final answer
    x = 3,143.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.