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Finding the Fourth Proportional to 4,648.38, 6,967.53 and 1,726.62

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Solution

The fourth proportional to 4,648.38, 6,967.53 and 1,726.62 is: 2,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.38 : 6,967.53 = 1,726.62 : x
  2. Step 2: Convert to fraction form
    4,648.38/6,967.53 = 1,726.62/x
  3. Step 3: Cross multiply
    4,648.38x = 6,967.53 × 1,726.62
  4. Step 4: Simplify right side
    4,648.38x = 12,030,276.65
  5. Step 5: Solve for x
    x = 12,030,276.65/4,648.38
  6. Step 6: Final answer
    x = 2,588.06

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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.