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Finding the Fourth Proportional to 5,166.34, 7,129.49 and 2,928.65

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Solution

The fourth proportional to 5,166.34, 7,129.49 and 2,928.65 is: 4,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.34 : 7,129.49 = 2,928.65 : x
  2. Step 2: Convert to fraction form
    5,166.34/7,129.49 = 2,928.65/x
  3. Step 3: Cross multiply
    5,166.34x = 7,129.49 × 2,928.65
  4. Step 4: Simplify right side
    5,166.34x = 20,879,730.60
  5. Step 5: Solve for x
    x = 20,879,730.60/5,166.34
  6. Step 6: Final answer
    x = 4,041.50

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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.