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Finding the Fourth Proportional to 4,506.47, 6,758.78 and 1,732.19

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Solution

The fourth proportional to 4,506.47, 6,758.78 and 1,732.19 is: 2,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.47 : 6,758.78 = 1,732.19 : x
  2. Step 2: Convert to fraction form
    4,506.47/6,758.78 = 1,732.19/x
  3. Step 3: Cross multiply
    4,506.47x = 6,758.78 × 1,732.19
  4. Step 4: Simplify right side
    4,506.47x = 11,707,448.67
  5. Step 5: Solve for x
    x = 11,707,448.67/4,506.47
  6. Step 6: Final answer
    x = 2,597.92

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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.