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Finding the Fourth Proportional to 5,382.86, 8,070.32 and 1,683.02

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Solution

The fourth proportional to 5,382.86, 8,070.32 and 1,683.02 is: 2,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.86 : 8,070.32 = 1,683.02 : x
  2. Step 2: Convert to fraction form
    5,382.86/8,070.32 = 1,683.02/x
  3. Step 3: Cross multiply
    5,382.86x = 8,070.32 × 1,683.02
  4. Step 4: Simplify right side
    5,382.86x = 13,582,473.82
  5. Step 5: Solve for x
    x = 13,582,473.82/5,382.86
  6. Step 6: Final answer
    x = 2,523.28

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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.