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Finding the Fourth Proportional to 5,746.60, 7,931.34 and 3,388.60

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Solution

The fourth proportional to 5,746.60, 7,931.34 and 3,388.60 is: 4,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.60 : 7,931.34 = 3,388.60 : x
  2. Step 2: Convert to fraction form
    5,746.60/7,931.34 = 3,388.60/x
  3. Step 3: Cross multiply
    5,746.60x = 7,931.34 × 3,388.60
  4. Step 4: Simplify right side
    5,746.60x = 26,876,138.72
  5. Step 5: Solve for x
    x = 26,876,138.72/5,746.60
  6. Step 6: Final answer
    x = 4,676.88

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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.