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Finding the Fourth Proportional to 5,356.65, 8,032.10 and 1,657.29

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Solution

The fourth proportional to 5,356.65, 8,032.10 and 1,657.29 is: 2,485.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.65 : 8,032.10 = 1,657.29 : x
  2. Step 2: Convert to fraction form
    5,356.65/8,032.10 = 1,657.29/x
  3. Step 3: Cross multiply
    5,356.65x = 8,032.10 × 1,657.29
  4. Step 4: Simplify right side
    5,356.65x = 13,311,510.72
  5. Step 5: Solve for x
    x = 13,311,510.72/5,356.65
  6. Step 6: Final answer
    x = 2,485.04

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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.