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Finding the Fourth Proportional to 4,240.69, 5,852.15 and 2,471.95

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Solution

The fourth proportional to 4,240.69, 5,852.15 and 2,471.95 is: 3,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240.69 : 5,852.15 = 2,471.95 : x
  2. Step 2: Convert to fraction form
    4,240.69/5,852.15 = 2,471.95/x
  3. Step 3: Cross multiply
    4,240.69x = 5,852.15 × 2,471.95
  4. Step 4: Simplify right side
    4,240.69x = 14,466,226.42
  5. Step 5: Solve for x
    x = 14,466,226.42/4,240.69
  6. Step 6: Final answer
    x = 3,411.29

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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.