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Finding the Fourth Proportional to 5,609.93, 7,741.72 and 3,091.98

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Solution

The fourth proportional to 5,609.93, 7,741.72 and 3,091.98 is: 4,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.93 : 7,741.72 = 3,091.98 : x
  2. Step 2: Convert to fraction form
    5,609.93/7,741.72 = 3,091.98/x
  3. Step 3: Cross multiply
    5,609.93x = 7,741.72 × 3,091.98
  4. Step 4: Simplify right side
    5,609.93x = 23,937,281.02
  5. Step 5: Solve for x
    x = 23,937,281.02/5,609.93
  6. Step 6: Final answer
    x = 4,266.95

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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.