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Finding the Fourth Proportional to 4,776.06, 7,166.87 and 2,002.50

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Solution

The fourth proportional to 4,776.06, 7,166.87 and 2,002.50 is: 3,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.06 : 7,166.87 = 2,002.50 : x
  2. Step 2: Convert to fraction form
    4,776.06/7,166.87 = 2,002.50/x
  3. Step 3: Cross multiply
    4,776.06x = 7,166.87 × 2,002.50
  4. Step 4: Simplify right side
    4,776.06x = 14,351,657.18
  5. Step 5: Solve for x
    x = 14,351,657.18/4,776.06
  6. Step 6: Final answer
    x = 3,004.92

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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.