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Finding the Fourth Proportional to 5,829.64, 7,988.84 and 5,269.12

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Solution

The fourth proportional to 5,829.64, 7,988.84 and 5,269.12 is: 7,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.64 : 7,988.84 = 5,269.12 : x
  2. Step 2: Convert to fraction form
    5,829.64/7,988.84 = 5,269.12/x
  3. Step 3: Cross multiply
    5,829.64x = 7,988.84 × 5,269.12
  4. Step 4: Simplify right side
    5,829.64x = 42,094,156.62
  5. Step 5: Solve for x
    x = 42,094,156.62/5,829.64
  6. Step 6: Final answer
    x = 7,220.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.