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Finding the Fourth Proportional to 5,718.41, 8,553 and 5,089.65

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Solution

The fourth proportional to 5,718.41, 8,553 and 5,089.65 is: 7,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.41 : 8,553 = 5,089.65 : x
  2. Step 2: Convert to fraction form
    5,718.41/8,553 = 5,089.65/x
  3. Step 3: Cross multiply
    5,718.41x = 8,553 × 5,089.65
  4. Step 4: Simplify right side
    5,718.41x = 43,531,776.45
  5. Step 5: Solve for x
    x = 43,531,776.45/5,718.41
  6. Step 6: Final answer
    x = 7,612.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.