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Finding the Fourth Proportional to 3,857.52, 5,316.36 and 2,807.76

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Solution

The fourth proportional to 3,857.52, 5,316.36 and 2,807.76 is: 3,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.52 : 5,316.36 = 2,807.76 : x
  2. Step 2: Convert to fraction form
    3,857.52/5,316.36 = 2,807.76/x
  3. Step 3: Cross multiply
    3,857.52x = 5,316.36 × 2,807.76
  4. Step 4: Simplify right side
    3,857.52x = 14,927,062.95
  5. Step 5: Solve for x
    x = 14,927,062.95/3,857.52
  6. Step 6: Final answer
    x = 3,869.60

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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.