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Finding the Fourth Proportional to 4,177.65, 6,290.88 and 3,089.67

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Solution

The fourth proportional to 4,177.65, 6,290.88 and 3,089.67 is: 4,652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.65 : 6,290.88 = 3,089.67 : x
  2. Step 2: Convert to fraction form
    4,177.65/6,290.88 = 3,089.67/x
  3. Step 3: Cross multiply
    4,177.65x = 6,290.88 × 3,089.67
  4. Step 4: Simplify right side
    4,177.65x = 19,436,743.21
  5. Step 5: Solve for x
    x = 19,436,743.21/4,177.65
  6. Step 6: Final answer
    x = 4,652.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.