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Finding the Fourth Proportional to 6,095.79, 9,145.44 and 2,587.28

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Solution

The fourth proportional to 6,095.79, 9,145.44 and 2,587.28 is: 3,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.79 : 9,145.44 = 2,587.28 : x
  2. Step 2: Convert to fraction form
    6,095.79/9,145.44 = 2,587.28/x
  3. Step 3: Cross multiply
    6,095.79x = 9,145.44 × 2,587.28
  4. Step 4: Simplify right side
    6,095.79x = 23,661,768.28
  5. Step 5: Solve for x
    x = 23,661,768.28/6,095.79
  6. Step 6: Final answer
    x = 3,881.66

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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.