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Finding the Fourth Proportional to 6,592.30, 9,097.59 and 3,608.32

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Solution

The fourth proportional to 6,592.30, 9,097.59 and 3,608.32 is: 4,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.30 : 9,097.59 = 3,608.32 : x
  2. Step 2: Convert to fraction form
    6,592.30/9,097.59 = 3,608.32/x
  3. Step 3: Cross multiply
    6,592.30x = 9,097.59 × 3,608.32
  4. Step 4: Simplify right side
    6,592.30x = 32,827,015.95
  5. Step 5: Solve for x
    x = 32,827,015.95/6,592.30
  6. Step 6: Final answer
    x = 4,979.60

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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.