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Finding the Fourth Proportional to 5,327.60, 7,348.93 and 3,334.69

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Solution

The fourth proportional to 5,327.60, 7,348.93 and 3,334.69 is: 4,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.60 : 7,348.93 = 3,334.69 : x
  2. Step 2: Convert to fraction form
    5,327.60/7,348.93 = 3,334.69/x
  3. Step 3: Cross multiply
    5,327.60x = 7,348.93 × 3,334.69
  4. Step 4: Simplify right side
    5,327.60x = 24,506,403.38
  5. Step 5: Solve for x
    x = 24,506,403.38/5,327.60
  6. Step 6: Final answer
    x = 4,599.90

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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.