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Finding the Fourth Proportional to 4,711.65, 7,069.41 and 2,077.80

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Solution

The fourth proportional to 4,711.65, 7,069.41 and 2,077.80 is: 3,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.65 : 7,069.41 = 2,077.80 : x
  2. Step 2: Convert to fraction form
    4,711.65/7,069.41 = 2,077.80/x
  3. Step 3: Cross multiply
    4,711.65x = 7,069.41 × 2,077.80
  4. Step 4: Simplify right side
    4,711.65x = 14,688,820.10
  5. Step 5: Solve for x
    x = 14,688,820.10/4,711.65
  6. Step 6: Final answer
    x = 3,117.55

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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.