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Finding the Fourth Proportional to 5,242.54, 7,895.03 and 4,728.46

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Solution

The fourth proportional to 5,242.54, 7,895.03 and 4,728.46 is: 7,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.54 : 7,895.03 = 4,728.46 : x
  2. Step 2: Convert to fraction form
    5,242.54/7,895.03 = 4,728.46/x
  3. Step 3: Cross multiply
    5,242.54x = 7,895.03 × 4,728.46
  4. Step 4: Simplify right side
    5,242.54x = 37,331,333.55
  5. Step 5: Solve for x
    x = 37,331,333.55/5,242.54
  6. Step 6: Final answer
    x = 7,120.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.