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Finding the Fourth Proportional to 4,766.93, 7,151.35 and 1,647.05

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Solution

The fourth proportional to 4,766.93, 7,151.35 and 1,647.05 is: 2,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.93 : 7,151.35 = 1,647.05 : x
  2. Step 2: Convert to fraction form
    4,766.93/7,151.35 = 1,647.05/x
  3. Step 3: Cross multiply
    4,766.93x = 7,151.35 × 1,647.05
  4. Step 4: Simplify right side
    4,766.93x = 11,778,631.02
  5. Step 5: Solve for x
    x = 11,778,631.02/4,766.93
  6. Step 6: Final answer
    x = 2,470.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.