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Finding the Fourth Proportional to 7,095.88, 9,792.48 and 3,952

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Solution

The fourth proportional to 7,095.88, 9,792.48 and 3,952 is: 5,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.88 : 9,792.48 = 3,952 : x
  2. Step 2: Convert to fraction form
    7,095.88/9,792.48 = 3,952/x
  3. Step 3: Cross multiply
    7,095.88x = 9,792.48 × 3,952
  4. Step 4: Simplify right side
    7,095.88x = 38,699,880.96
  5. Step 5: Solve for x
    x = 38,699,880.96/7,095.88
  6. Step 6: Final answer
    x = 5,453.85

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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.