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Finding the Fourth Proportional to 5,398.67, 7,447.62 and 3,159.16

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Solution

The fourth proportional to 5,398.67, 7,447.62 and 3,159.16 is: 4,358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.67 : 7,447.62 = 3,159.16 : x
  2. Step 2: Convert to fraction form
    5,398.67/7,447.62 = 3,159.16/x
  3. Step 3: Cross multiply
    5,398.67x = 7,447.62 × 3,159.16
  4. Step 4: Simplify right side
    5,398.67x = 23,528,199.45
  5. Step 5: Solve for x
    x = 23,528,199.45/5,398.67
  6. Step 6: Final answer
    x = 4,358.15

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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.