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Finding the Fourth Proportional to 5,374.37, 7,416.51 and 2,984.20

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Solution

The fourth proportional to 5,374.37, 7,416.51 and 2,984.20 is: 4,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.37 : 7,416.51 = 2,984.20 : x
  2. Step 2: Convert to fraction form
    5,374.37/7,416.51 = 2,984.20/x
  3. Step 3: Cross multiply
    5,374.37x = 7,416.51 × 2,984.20
  4. Step 4: Simplify right side
    5,374.37x = 22,132,349.14
  5. Step 5: Solve for x
    x = 22,132,349.14/5,374.37
  6. Step 6: Final answer
    x = 4,118.13

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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.