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Finding the Fourth Proportional to 5,581.18, 7,701.47 and 3,343.00

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Solution

The fourth proportional to 5,581.18, 7,701.47 and 3,343.00 is: 4,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.18 : 7,701.47 = 3,343.00 : x
  2. Step 2: Convert to fraction form
    5,581.18/7,701.47 = 3,343.00/x
  3. Step 3: Cross multiply
    5,581.18x = 7,701.47 × 3,343.00
  4. Step 4: Simplify right side
    5,581.18x = 25,746,023.84
  5. Step 5: Solve for x
    x = 25,746,023.84/5,581.18
  6. Step 6: Final answer
    x = 4,613.01

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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.