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Finding the Fourth Proportional to 4,537.57, 6,804.63 and 1,763.90

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Solution

The fourth proportional to 4,537.57, 6,804.63 and 1,763.90 is: 2,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.57 : 6,804.63 = 1,763.90 : x
  2. Step 2: Convert to fraction form
    4,537.57/6,804.63 = 1,763.90/x
  3. Step 3: Cross multiply
    4,537.57x = 6,804.63 × 1,763.90
  4. Step 4: Simplify right side
    4,537.57x = 12,002,702.45
  5. Step 5: Solve for x
    x = 12,002,702.45/4,537.57
  6. Step 6: Final answer
    x = 2,645.18

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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.