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Finding the Fourth Proportional to 4,677.75, 7,011.16 and 2,596.76

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Solution

The fourth proportional to 4,677.75, 7,011.16 and 2,596.76 is: 3,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.75 : 7,011.16 = 2,596.76 : x
  2. Step 2: Convert to fraction form
    4,677.75/7,011.16 = 2,596.76/x
  3. Step 3: Cross multiply
    4,677.75x = 7,011.16 × 2,596.76
  4. Step 4: Simplify right side
    4,677.75x = 18,206,284.59
  5. Step 5: Solve for x
    x = 18,206,284.59/4,677.75
  6. Step 6: Final answer
    x = 3,892.10

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