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Finding the Fourth Proportional to 5,274.29, 7,180.98 and 5,257.89

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Solution

The fourth proportional to 5,274.29, 7,180.98 and 5,257.89 is: 7,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.29 : 7,180.98 = 5,257.89 : x
  2. Step 2: Convert to fraction form
    5,274.29/7,180.98 = 5,257.89/x
  3. Step 3: Cross multiply
    5,274.29x = 7,180.98 × 5,257.89
  4. Step 4: Simplify right side
    5,274.29x = 37,756,802.93
  5. Step 5: Solve for x
    x = 37,756,802.93/5,274.29
  6. Step 6: Final answer
    x = 7,158.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.