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Finding the Fourth Proportional to 5,344.67, 7,352.24 and 4,347.77

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Solution

The fourth proportional to 5,344.67, 7,352.24 and 4,347.77 is: 5,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.67 : 7,352.24 = 4,347.77 : x
  2. Step 2: Convert to fraction form
    5,344.67/7,352.24 = 4,347.77/x
  3. Step 3: Cross multiply
    5,344.67x = 7,352.24 × 4,347.77
  4. Step 4: Simplify right side
    5,344.67x = 31,965,790.00
  5. Step 5: Solve for x
    x = 31,965,790.00/5,344.67
  6. Step 6: Final answer
    x = 5,980.87

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1.5x scale

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.