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Finding the Fourth Proportional to 4,616.53, 6,923.37 and 1,328.74

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Solution

The fourth proportional to 4,616.53, 6,923.37 and 1,328.74 is: 1,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.53 : 6,923.37 = 1,328.74 : x
  2. Step 2: Convert to fraction form
    4,616.53/6,923.37 = 1,328.74/x
  3. Step 3: Cross multiply
    4,616.53x = 6,923.37 × 1,328.74
  4. Step 4: Simplify right side
    4,616.53x = 9,199,358.65
  5. Step 5: Solve for x
    x = 9,199,358.65/4,616.53
  6. Step 6: Final answer
    x = 1,992.70

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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.