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Finding the Fourth Proportional to 3,873.52, 5,345.46 and 2,301.76

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Solution

The fourth proportional to 3,873.52, 5,345.46 and 2,301.76 is: 3,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.52 : 5,345.46 = 2,301.76 : x
  2. Step 2: Convert to fraction form
    3,873.52/5,345.46 = 2,301.76/x
  3. Step 3: Cross multiply
    3,873.52x = 5,345.46 × 2,301.76
  4. Step 4: Simplify right side
    3,873.52x = 12,303,966.01
  5. Step 5: Solve for x
    x = 12,303,966.01/3,873.52
  6. Step 6: Final answer
    x = 3,176.43

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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.