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Finding the Fourth Proportional to 5,265.85, 7,261.22 and 5,188.30

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Solution

The fourth proportional to 5,265.85, 7,261.22 and 5,188.30 is: 7,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.85 : 7,261.22 = 5,188.30 : x
  2. Step 2: Convert to fraction form
    5,265.85/7,261.22 = 5,188.30/x
  3. Step 3: Cross multiply
    5,265.85x = 7,261.22 × 5,188.30
  4. Step 4: Simplify right side
    5,265.85x = 37,673,325.48
  5. Step 5: Solve for x
    x = 37,673,325.48/5,265.85
  6. Step 6: Final answer
    x = 7,154.28

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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.