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Finding the Fourth Proportional to 4,549.57, 6,823.68 and 1,262.32

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Solution

The fourth proportional to 4,549.57, 6,823.68 and 1,262.32 is: 1,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.57 : 6,823.68 = 1,262.32 : x
  2. Step 2: Convert to fraction form
    4,549.57/6,823.68 = 1,262.32/x
  3. Step 3: Cross multiply
    4,549.57x = 6,823.68 × 1,262.32
  4. Step 4: Simplify right side
    4,549.57x = 8,613,667.74
  5. Step 5: Solve for x
    x = 8,613,667.74/4,549.57
  6. Step 6: Final answer
    x = 1,893.29

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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.