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Finding the Fourth Proportional to 4,509.48, 6,764.26 and 1,587.80

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Solution

The fourth proportional to 4,509.48, 6,764.26 and 1,587.80 is: 2,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.48 : 6,764.26 = 1,587.80 : x
  2. Step 2: Convert to fraction form
    4,509.48/6,764.26 = 1,587.80/x
  3. Step 3: Cross multiply
    4,509.48x = 6,764.26 × 1,587.80
  4. Step 4: Simplify right side
    4,509.48x = 10,740,292.03
  5. Step 5: Solve for x
    x = 10,740,292.03/4,509.48
  6. Step 6: Final answer
    x = 2,381.71

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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.