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Finding the Fourth Proportional to 5,498.76, 7,589.64 and 3,401.64

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Solution

The fourth proportional to 5,498.76, 7,589.64 and 3,401.64 is: 4,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.76 : 7,589.64 = 3,401.64 : x
  2. Step 2: Convert to fraction form
    5,498.76/7,589.64 = 3,401.64/x
  3. Step 3: Cross multiply
    5,498.76x = 7,589.64 × 3,401.64
  4. Step 4: Simplify right side
    5,498.76x = 25,817,223.01
  5. Step 5: Solve for x
    x = 25,817,223.01/5,498.76
  6. Step 6: Final answer
    x = 4,695.10

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1.5x scale

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.