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Finding the Fourth Proportional to 5,374.41, 7,416.71 and 2,984.41

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Solution

The fourth proportional to 5,374.41, 7,416.71 and 2,984.41 is: 4,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.41 : 7,416.71 = 2,984.41 : x
  2. Step 2: Convert to fraction form
    5,374.41/7,416.71 = 2,984.41/x
  3. Step 3: Cross multiply
    5,374.41x = 7,416.71 × 2,984.41
  4. Step 4: Simplify right side
    5,374.41x = 22,134,503.49
  5. Step 5: Solve for x
    x = 22,134,503.49/5,374.41
  6. Step 6: Final answer
    x = 4,118.50

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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.