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Finding the Fourth Proportional to 4,390, 6,057.96 and 2,501.20

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Solution

The fourth proportional to 4,390, 6,057.96 and 2,501.20 is: 3,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,390 : 6,057.96 = 2,501.20 : x
  2. Step 2: Convert to fraction form
    4,390/6,057.96 = 2,501.20/x
  3. Step 3: Cross multiply
    4,390x = 6,057.96 × 2,501.20
  4. Step 4: Simplify right side
    4,390x = 15,152,169.55
  5. Step 5: Solve for x
    x = 15,152,169.55/4,390
  6. Step 6: Final answer
    x = 3,451.52

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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.