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Finding the Fourth Proportional to 4,588.48, 6,878.13 and 1,813.65

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Solution

The fourth proportional to 4,588.48, 6,878.13 and 1,813.65 is: 2,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.48 : 6,878.13 = 1,813.65 : x
  2. Step 2: Convert to fraction form
    4,588.48/6,878.13 = 1,813.65/x
  3. Step 3: Cross multiply
    4,588.48x = 6,878.13 × 1,813.65
  4. Step 4: Simplify right side
    4,588.48x = 12,474,520.47
  5. Step 5: Solve for x
    x = 12,474,520.47/4,588.48
  6. Step 6: Final answer
    x = 2,718.66

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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.