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Finding the Fourth Proportional to 4,309.39, 6,454.45 and 3,746.89

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Solution

The fourth proportional to 4,309.39, 6,454.45 and 3,746.89 is: 5,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.39 : 6,454.45 = 3,746.89 : x
  2. Step 2: Convert to fraction form
    4,309.39/6,454.45 = 3,746.89/x
  3. Step 3: Cross multiply
    4,309.39x = 6,454.45 × 3,746.89
  4. Step 4: Simplify right side
    4,309.39x = 24,184,114.16
  5. Step 5: Solve for x
    x = 24,184,114.16/4,309.39
  6. Step 6: Final answer
    x = 5,611.96

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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.