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Finding the Fourth Proportional to 5,597.16, 7,738.08 and 4,197.48

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Solution

The fourth proportional to 5,597.16, 7,738.08 and 4,197.48 is: 5,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.16 : 7,738.08 = 4,197.48 : x
  2. Step 2: Convert to fraction form
    5,597.16/7,738.08 = 4,197.48/x
  3. Step 3: Cross multiply
    5,597.16x = 7,738.08 × 4,197.48
  4. Step 4: Simplify right side
    5,597.16x = 32,480,436.04
  5. Step 5: Solve for x
    x = 32,480,436.04/5,597.16
  6. Step 6: Final answer
    x = 5,803.02

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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.