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Finding the Fourth Proportional to 5,730.75, 8,598.56 and 3,095.15

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Solution

The fourth proportional to 5,730.75, 8,598.56 and 3,095.15 is: 4,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.75 : 8,598.56 = 3,095.15 : x
  2. Step 2: Convert to fraction form
    5,730.75/8,598.56 = 3,095.15/x
  3. Step 3: Cross multiply
    5,730.75x = 8,598.56 × 3,095.15
  4. Step 4: Simplify right side
    5,730.75x = 26,613,774.52
  5. Step 5: Solve for x
    x = 26,613,774.52/5,730.75
  6. Step 6: Final answer
    x = 4,644.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.