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Finding the Fourth Proportional to 3,865.16, 5,333.10 and 2,293.76

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Solution

The fourth proportional to 3,865.16, 5,333.10 and 2,293.76 is: 3,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.16 : 5,333.10 = 2,293.76 : x
  2. Step 2: Convert to fraction form
    3,865.16/5,333.10 = 2,293.76/x
  3. Step 3: Cross multiply
    3,865.16x = 5,333.10 × 2,293.76
  4. Step 4: Simplify right side
    3,865.16x = 12,232,851.46
  5. Step 5: Solve for x
    x = 12,232,851.46/3,865.16
  6. Step 6: Final answer
    x = 3,164.90

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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.