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Finding the Fourth Proportional to 4,365.41, 6,024.15 and 2,376

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Solution

The fourth proportional to 4,365.41, 6,024.15 and 2,376 is: 3,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.41 : 6,024.15 = 2,376 : x
  2. Step 2: Convert to fraction form
    4,365.41/6,024.15 = 2,376/x
  3. Step 3: Cross multiply
    4,365.41x = 6,024.15 × 2,376
  4. Step 4: Simplify right side
    4,365.41x = 14,313,380.40
  5. Step 5: Solve for x
    x = 14,313,380.40/4,365.41
  6. Step 6: Final answer
    x = 3,278.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.