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Finding the Fourth Proportional to 5,745.18, 8,617.80 and 1,585.41

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Solution

The fourth proportional to 5,745.18, 8,617.80 and 1,585.41 is: 2,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.18 : 8,617.80 = 1,585.41 : x
  2. Step 2: Convert to fraction form
    5,745.18/8,617.80 = 1,585.41/x
  3. Step 3: Cross multiply
    5,745.18x = 8,617.80 × 1,585.41
  4. Step 4: Simplify right side
    5,745.18x = 13,662,746.30
  5. Step 5: Solve for x
    x = 13,662,746.30/5,745.18
  6. Step 6: Final answer
    x = 2,378.12

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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.