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Finding the Fourth Proportional to 5,690.32, 7,845.54 and 4,747.48

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Solution

The fourth proportional to 5,690.32, 7,845.54 and 4,747.48 is: 6,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.32 : 7,845.54 = 4,747.48 : x
  2. Step 2: Convert to fraction form
    5,690.32/7,845.54 = 4,747.48/x
  3. Step 3: Cross multiply
    5,690.32x = 7,845.54 × 4,747.48
  4. Step 4: Simplify right side
    5,690.32x = 37,246,544.24
  5. Step 5: Solve for x
    x = 37,246,544.24/5,690.32
  6. Step 6: Final answer
    x = 6,545.60

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Double scale
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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.