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Finding the Fourth Proportional to 4,605.76, 6,899.52 and 2,751.70

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Solution

The fourth proportional to 4,605.76, 6,899.52 and 2,751.70 is: 4,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.76 : 6,899.52 = 2,751.70 : x
  2. Step 2: Convert to fraction form
    4,605.76/6,899.52 = 2,751.70/x
  3. Step 3: Cross multiply
    4,605.76x = 6,899.52 × 2,751.70
  4. Step 4: Simplify right side
    4,605.76x = 18,985,409.18
  5. Step 5: Solve for x
    x = 18,985,409.18/4,605.76
  6. Step 6: Final answer
    x = 4,122.10

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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.