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Finding the Fourth Proportional to 5,200.32, 7,164 and 4,360.08

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Solution

The fourth proportional to 5,200.32, 7,164 and 4,360.08 is: 6,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.32 : 7,164 = 4,360.08 : x
  2. Step 2: Convert to fraction form
    5,200.32/7,164 = 4,360.08/x
  3. Step 3: Cross multiply
    5,200.32x = 7,164 × 4,360.08
  4. Step 4: Simplify right side
    5,200.32x = 31,235,613.12
  5. Step 5: Solve for x
    x = 31,235,613.12/5,200.32
  6. Step 6: Final answer
    x = 6,006.48

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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.