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Finding the Fourth Proportional to 5,374.38, 7,416.46 and 2,984.28

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Solution

The fourth proportional to 5,374.38, 7,416.46 and 2,984.28 is: 4,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.38 : 7,416.46 = 2,984.28 : x
  2. Step 2: Convert to fraction form
    5,374.38/7,416.46 = 2,984.28/x
  3. Step 3: Cross multiply
    5,374.38x = 7,416.46 × 2,984.28
  4. Step 4: Simplify right side
    5,374.38x = 22,132,769.17
  5. Step 5: Solve for x
    x = 22,132,769.17/5,374.38
  6. Step 6: Final answer
    x = 4,118.20

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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.