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Finding the Fourth Proportional to 5,258.67, 7,259.67 and 3,689.52

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Solution

The fourth proportional to 5,258.67, 7,259.67 and 3,689.52 is: 5,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.67 : 7,259.67 = 3,689.52 : x
  2. Step 2: Convert to fraction form
    5,258.67/7,259.67 = 3,689.52/x
  3. Step 3: Cross multiply
    5,258.67x = 7,259.67 × 3,689.52
  4. Step 4: Simplify right side
    5,258.67x = 26,784,697.66
  5. Step 5: Solve for x
    x = 26,784,697.66/5,258.67
  6. Step 6: Final answer
    x = 5,093.44

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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.