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Finding the Fourth Proportional to 5,300.61, 7,314.03 and 3,175.65

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Solution

The fourth proportional to 5,300.61, 7,314.03 and 3,175.65 is: 4,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.61 : 7,314.03 = 3,175.65 : x
  2. Step 2: Convert to fraction form
    5,300.61/7,314.03 = 3,175.65/x
  3. Step 3: Cross multiply
    5,300.61x = 7,314.03 × 3,175.65
  4. Step 4: Simplify right side
    5,300.61x = 23,226,799.37
  5. Step 5: Solve for x
    x = 23,226,799.37/5,300.61
  6. Step 6: Final answer
    x = 4,381.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.