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Finding the Fourth Proportional to 5,295.83, 7,304.68 and 4,431.05

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Solution

The fourth proportional to 5,295.83, 7,304.68 and 4,431.05 is: 6,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.83 : 7,304.68 = 4,431.05 : x
  2. Step 2: Convert to fraction form
    5,295.83/7,304.68 = 4,431.05/x
  3. Step 3: Cross multiply
    5,295.83x = 7,304.68 × 4,431.05
  4. Step 4: Simplify right side
    5,295.83x = 32,367,439.81
  5. Step 5: Solve for x
    x = 32,367,439.81/5,295.83
  6. Step 6: Final answer
    x = 6,111.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.