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Finding the Fourth Proportional to 3,756.50, 5,182.88 and 2,340.40

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Solution

The fourth proportional to 3,756.50, 5,182.88 and 2,340.40 is: 3,229.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.50 : 5,182.88 = 2,340.40 : x
  2. Step 2: Convert to fraction form
    3,756.50/5,182.88 = 2,340.40/x
  3. Step 3: Cross multiply
    3,756.50x = 5,182.88 × 2,340.40
  4. Step 4: Simplify right side
    3,756.50x = 12,130,012.35
  5. Step 5: Solve for x
    x = 12,130,012.35/3,756.50
  6. Step 6: Final answer
    x = 3,229.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.