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Finding the Fourth Proportional to 3,849.76, 5,312.64 and 3,011.32

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Solution

The fourth proportional to 3,849.76, 5,312.64 and 3,011.32 is: 4,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.76 : 5,312.64 = 3,011.32 : x
  2. Step 2: Convert to fraction form
    3,849.76/5,312.64 = 3,011.32/x
  3. Step 3: Cross multiply
    3,849.76x = 5,312.64 × 3,011.32
  4. Step 4: Simplify right side
    3,849.76x = 15,998,059.08
  5. Step 5: Solve for x
    x = 15,998,059.08/3,849.76
  6. Step 6: Final answer
    x = 4,155.60

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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.