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Finding the Fourth Proportional to 4,298.59, 6,447.91 and 4,088.73

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Solution

The fourth proportional to 4,298.59, 6,447.91 and 4,088.73 is: 6,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.59 : 6,447.91 = 4,088.73 : x
  2. Step 2: Convert to fraction form
    4,298.59/6,447.91 = 4,088.73/x
  3. Step 3: Cross multiply
    4,298.59x = 6,447.91 × 4,088.73
  4. Step 4: Simplify right side
    4,298.59x = 26,363,763.05
  5. Step 5: Solve for x
    x = 26,363,763.05/4,298.59
  6. Step 6: Final answer
    x = 6,133.13

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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.