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Finding the Fourth Proportional to 5,258.35, 7,873.85 and 5,102.53

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Solution

The fourth proportional to 5,258.35, 7,873.85 and 5,102.53 is: 7,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.35 : 7,873.85 = 5,102.53 : x
  2. Step 2: Convert to fraction form
    5,258.35/7,873.85 = 5,102.53/x
  3. Step 3: Cross multiply
    5,258.35x = 7,873.85 × 5,102.53
  4. Step 4: Simplify right side
    5,258.35x = 40,176,490.96
  5. Step 5: Solve for x
    x = 40,176,490.96/5,258.35
  6. Step 6: Final answer
    x = 7,640.51

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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.