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Finding the Fourth Proportional to 5,612, 8,421.60 and 2,534

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Solution

The fourth proportional to 5,612, 8,421.60 and 2,534 is: 3,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612 : 8,421.60 = 2,534 : x
  2. Step 2: Convert to fraction form
    5,612/8,421.60 = 2,534/x
  3. Step 3: Cross multiply
    5,612x = 8,421.60 × 2,534
  4. Step 4: Simplify right side
    5,612x = 21,340,334.40
  5. Step 5: Solve for x
    x = 21,340,334.40/5,612
  6. Step 6: Final answer
    x = 3,802.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.