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Finding the Fourth Proportional to 5,822.31, 8,035.35 and 3,585.50

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Solution

The fourth proportional to 5,822.31, 8,035.35 and 3,585.50 is: 4,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.31 : 8,035.35 = 3,585.50 : x
  2. Step 2: Convert to fraction form
    5,822.31/8,035.35 = 3,585.50/x
  3. Step 3: Cross multiply
    5,822.31x = 8,035.35 × 3,585.50
  4. Step 4: Simplify right side
    5,822.31x = 28,810,744.10
  5. Step 5: Solve for x
    x = 28,810,744.10/5,822.31
  6. Step 6: Final answer
    x = 4,948.33

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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.