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Finding the Fourth Proportional to 4,543.80, 6,809.76 and 4,429.32

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Solution

The fourth proportional to 4,543.80, 6,809.76 and 4,429.32 is: 6,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.80 : 6,809.76 = 4,429.32 : x
  2. Step 2: Convert to fraction form
    4,543.80/6,809.76 = 4,429.32/x
  3. Step 3: Cross multiply
    4,543.80x = 6,809.76 × 4,429.32
  4. Step 4: Simplify right side
    4,543.80x = 30,162,606.16
  5. Step 5: Solve for x
    x = 30,162,606.16/4,543.80
  6. Step 6: Final answer
    x = 6,638.19

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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.