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Finding the Fourth Proportional to 5,587.72, 8,383.74 and 2,509

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Solution

The fourth proportional to 5,587.72, 8,383.74 and 2,509 is: 3,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.72 : 8,383.74 = 2,509 : x
  2. Step 2: Convert to fraction form
    5,587.72/8,383.74 = 2,509/x
  3. Step 3: Cross multiply
    5,587.72x = 8,383.74 × 2,509
  4. Step 4: Simplify right side
    5,587.72x = 21,034,803.66
  5. Step 5: Solve for x
    x = 21,034,803.66/5,587.72
  6. Step 6: Final answer
    x = 3,764.47

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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.