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Finding the Fourth Proportional to 4,353, 6,007.14 and 2,490

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Solution

The fourth proportional to 4,353, 6,007.14 and 2,490 is: 3,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353 : 6,007.14 = 2,490 : x
  2. Step 2: Convert to fraction form
    4,353/6,007.14 = 2,490/x
  3. Step 3: Cross multiply
    4,353x = 6,007.14 × 2,490
  4. Step 4: Simplify right side
    4,353x = 14,957,778.60
  5. Step 5: Solve for x
    x = 14,957,778.60/4,353
  6. Step 6: Final answer
    x = 3,436.20

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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.