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Finding the Fourth Proportional to 4,175.67, 5,762.34 and 2,407.17

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Solution

The fourth proportional to 4,175.67, 5,762.34 and 2,407.17 is: 3,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.67 : 5,762.34 = 2,407.17 : x
  2. Step 2: Convert to fraction form
    4,175.67/5,762.34 = 2,407.17/x
  3. Step 3: Cross multiply
    4,175.67x = 5,762.34 × 2,407.17
  4. Step 4: Simplify right side
    4,175.67x = 13,870,931.98
  5. Step 5: Solve for x
    x = 13,870,931.98/4,175.67
  6. Step 6: Final answer
    x = 3,321.85

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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.