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Finding the Fourth Proportional to 4,158.89, 5,740 and 2,480.40

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Solution

The fourth proportional to 4,158.89, 5,740 and 2,480.40 is: 3,423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.89 : 5,740 = 2,480.40 : x
  2. Step 2: Convert to fraction form
    4,158.89/5,740 = 2,480.40/x
  3. Step 3: Cross multiply
    4,158.89x = 5,740 × 2,480.40
  4. Step 4: Simplify right side
    4,158.89x = 14,237,496
  5. Step 5: Solve for x
    x = 14,237,496/4,158.89
  6. Step 6: Final answer
    x = 3,423.39

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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.