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Finding the Fourth Proportional to 4,235.76, 5,844.78 and 2,466

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Solution

The fourth proportional to 4,235.76, 5,844.78 and 2,466 is: 3,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.76 : 5,844.78 = 2,466 : x
  2. Step 2: Convert to fraction form
    4,235.76/5,844.78 = 2,466/x
  3. Step 3: Cross multiply
    4,235.76x = 5,844.78 × 2,466
  4. Step 4: Simplify right side
    4,235.76x = 14,413,227.48
  5. Step 5: Solve for x
    x = 14,413,227.48/4,235.76
  6. Step 6: Final answer
    x = 3,402.75

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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.