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Finding the Fourth Proportional to 4,088.45, 6,129.03 and 3,400.76

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Solution

The fourth proportional to 4,088.45, 6,129.03 and 3,400.76 is: 5,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.45 : 6,129.03 = 3,400.76 : x
  2. Step 2: Convert to fraction form
    4,088.45/6,129.03 = 3,400.76/x
  3. Step 3: Cross multiply
    4,088.45x = 6,129.03 × 3,400.76
  4. Step 4: Simplify right side
    4,088.45x = 20,843,360.06
  5. Step 5: Solve for x
    x = 20,843,360.06/4,088.45
  6. Step 6: Final answer
    x = 5,098.11

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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.