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Finding the Fourth Proportional to 3,094.71, 4,265.87 and 2,345.66

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Solution

The fourth proportional to 3,094.71, 4,265.87 and 2,345.66 is: 3,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.71 : 4,265.87 = 2,345.66 : x
  2. Step 2: Convert to fraction form
    3,094.71/4,265.87 = 2,345.66/x
  3. Step 3: Cross multiply
    3,094.71x = 4,265.87 × 2,345.66
  4. Step 4: Simplify right side
    3,094.71x = 10,006,263.56
  5. Step 5: Solve for x
    x = 10,006,263.56/3,094.71
  6. Step 6: Final answer
    x = 3,233.35

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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.