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Finding the Fourth Proportional to 5,707.56, 8,509.35 and 5,563.92

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Solution

The fourth proportional to 5,707.56, 8,509.35 and 5,563.92 is: 8,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.56 : 8,509.35 = 5,563.92 : x
  2. Step 2: Convert to fraction form
    5,707.56/8,509.35 = 5,563.92/x
  3. Step 3: Cross multiply
    5,707.56x = 8,509.35 × 5,563.92
  4. Step 4: Simplify right side
    5,707.56x = 47,345,342.65
  5. Step 5: Solve for x
    x = 47,345,342.65/5,707.56
  6. Step 6: Final answer
    x = 8,295.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.