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Finding the Fourth Proportional to 7,297.89, 10,071 and 4,154.06

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Solution

The fourth proportional to 7,297.89, 10,071 and 4,154.06 is: 5,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.89 : 10,071 = 4,154.06 : x
  2. Step 2: Convert to fraction form
    7,297.89/10,071 = 4,154.06/x
  3. Step 3: Cross multiply
    7,297.89x = 10,071 × 4,154.06
  4. Step 4: Simplify right side
    7,297.89x = 41,835,538.26
  5. Step 5: Solve for x
    x = 41,835,538.26/7,297.89
  6. Step 6: Final answer
    x = 5,732.55

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Why These Related Problems?

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