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Finding the Fourth Proportional to 5,600.14, 7,728.40 and 3,210.56

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Solution

The fourth proportional to 5,600.14, 7,728.40 and 3,210.56 is: 4,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.14 : 7,728.40 = 3,210.56 : x
  2. Step 2: Convert to fraction form
    5,600.14/7,728.40 = 3,210.56/x
  3. Step 3: Cross multiply
    5,600.14x = 7,728.40 × 3,210.56
  4. Step 4: Simplify right side
    5,600.14x = 24,812,491.90
  5. Step 5: Solve for x
    x = 24,812,491.90/5,600.14
  6. Step 6: Final answer
    x = 4,430.69

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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.