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Finding the Fourth Proportional to 5,258.16, 7,253 and 3,132.25

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Solution

The fourth proportional to 5,258.16, 7,253 and 3,132.25 is: 4,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.16 : 7,253 = 3,132.25 : x
  2. Step 2: Convert to fraction form
    5,258.16/7,253 = 3,132.25/x
  3. Step 3: Cross multiply
    5,258.16x = 7,253 × 3,132.25
  4. Step 4: Simplify right side
    5,258.16x = 22,718,172.99
  5. Step 5: Solve for x
    x = 22,718,172.99/5,258.16
  6. Step 6: Final answer
    x = 4,320.56

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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.