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Finding the Fourth Proportional to 5,598.42, 7,727.58 and 3,609

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Solution

The fourth proportional to 5,598.42, 7,727.58 and 3,609 is: 4,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598.42 : 7,727.58 = 3,609 : x
  2. Step 2: Convert to fraction form
    5,598.42/7,727.58 = 3,609/x
  3. Step 3: Cross multiply
    5,598.42x = 7,727.58 × 3,609
  4. Step 4: Simplify right side
    5,598.42x = 27,888,836.22
  5. Step 5: Solve for x
    x = 27,888,836.22/5,598.42
  6. Step 6: Final answer
    x = 4,981.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.