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Finding the Fourth Proportional to 5,374.62, 7,416.71 and 2,984.68

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Solution

The fourth proportional to 5,374.62, 7,416.71 and 2,984.68 is: 4,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.62 : 7,416.71 = 2,984.68 : x
  2. Step 2: Convert to fraction form
    5,374.62/7,416.71 = 2,984.68/x
  3. Step 3: Cross multiply
    5,374.62x = 7,416.71 × 2,984.68
  4. Step 4: Simplify right side
    5,374.62x = 22,136,528.33
  5. Step 5: Solve for x
    x = 22,136,528.33/5,374.62
  6. Step 6: Final answer
    x = 4,118.72

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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.