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Finding the Fourth Proportional to 4,509.39, 6,764.63 and 1,587.09

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Solution

The fourth proportional to 4,509.39, 6,764.63 and 1,587.09 is: 2,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.39 : 6,764.63 = 1,587.09 : x
  2. Step 2: Convert to fraction form
    4,509.39/6,764.63 = 1,587.09/x
  3. Step 3: Cross multiply
    4,509.39x = 6,764.63 × 1,587.09
  4. Step 4: Simplify right side
    4,509.39x = 10,736,068.69
  5. Step 5: Solve for x
    x = 10,736,068.69/4,509.39
  6. Step 6: Final answer
    x = 2,380.83

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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.