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Finding the Fourth Proportional to 6,592.55, 9,097.74 and 3,608.42

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Solution

The fourth proportional to 6,592.55, 9,097.74 and 3,608.42 is: 4,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.55 : 9,097.74 = 3,608.42 : x
  2. Step 2: Convert to fraction form
    6,592.55/9,097.74 = 3,608.42/x
  3. Step 3: Cross multiply
    6,592.55x = 9,097.74 × 3,608.42
  4. Step 4: Simplify right side
    6,592.55x = 32,828,421.48
  5. Step 5: Solve for x
    x = 32,828,421.48/6,592.55
  6. Step 6: Final answer
    x = 4,979.63

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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.