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Finding the Fourth Proportional to 5,570.56, 7,688.24 and 3,802.56

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Solution

The fourth proportional to 5,570.56, 7,688.24 and 3,802.56 is: 5,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.56 : 7,688.24 = 3,802.56 : x
  2. Step 2: Convert to fraction form
    5,570.56/7,688.24 = 3,802.56/x
  3. Step 3: Cross multiply
    5,570.56x = 7,688.24 × 3,802.56
  4. Step 4: Simplify right side
    5,570.56x = 29,234,993.89
  5. Step 5: Solve for x
    x = 29,234,993.89/5,570.56
  6. Step 6: Final answer
    x = 5,248.12

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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.