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Finding the Fourth Proportional to 5,634.93, 8,404.76 and 5,309.72

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Solution

The fourth proportional to 5,634.93, 8,404.76 and 5,309.72 is: 7,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.93 : 8,404.76 = 5,309.72 : x
  2. Step 2: Convert to fraction form
    5,634.93/8,404.76 = 5,309.72/x
  3. Step 3: Cross multiply
    5,634.93x = 8,404.76 × 5,309.72
  4. Step 4: Simplify right side
    5,634.93x = 44,626,853.69
  5. Step 5: Solve for x
    x = 44,626,853.69/5,634.93
  6. Step 6: Final answer
    x = 7,919.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.