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Finding the Fourth Proportional to 5,258.95, 7,883.54 and 1,974.22

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Solution

The fourth proportional to 5,258.95, 7,883.54 and 1,974.22 is: 2,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.95 : 7,883.54 = 1,974.22 : x
  2. Step 2: Convert to fraction form
    5,258.95/7,883.54 = 1,974.22/x
  3. Step 3: Cross multiply
    5,258.95x = 7,883.54 × 1,974.22
  4. Step 4: Simplify right side
    5,258.95x = 15,563,820.16
  5. Step 5: Solve for x
    x = 15,563,820.16/5,258.95
  6. Step 6: Final answer
    x = 2,959.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.