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Finding the Fourth Proportional to 5,570.71, 8,356.07 and 2,285.35

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Solution

The fourth proportional to 5,570.71, 8,356.07 and 2,285.35 is: 3,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.71 : 8,356.07 = 2,285.35 : x
  2. Step 2: Convert to fraction form
    5,570.71/8,356.07 = 2,285.35/x
  3. Step 3: Cross multiply
    5,570.71x = 8,356.07 × 2,285.35
  4. Step 4: Simplify right side
    5,570.71x = 19,096,544.57
  5. Step 5: Solve for x
    x = 19,096,544.57/5,570.71
  6. Step 6: Final answer
    x = 3,428.03

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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.