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Finding the Fourth Proportional to 3,412.56, 5,130.24 and 2,800.80

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Solution

The fourth proportional to 3,412.56, 5,130.24 and 2,800.80 is: 4,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.56 : 5,130.24 = 2,800.80 : x
  2. Step 2: Convert to fraction form
    3,412.56/5,130.24 = 2,800.80/x
  3. Step 3: Cross multiply
    3,412.56x = 5,130.24 × 2,800.80
  4. Step 4: Simplify right side
    3,412.56x = 14,368,776.19
  5. Step 5: Solve for x
    x = 14,368,776.19/3,412.56
  6. Step 6: Final answer
    x = 4,210.56

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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.