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Finding the Fourth Proportional to 4,509.36, 6,765.07 and 1,587.69

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Solution

The fourth proportional to 4,509.36, 6,765.07 and 1,587.69 is: 2,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.36 : 6,765.07 = 1,587.69 : x
  2. Step 2: Convert to fraction form
    4,509.36/6,765.07 = 1,587.69/x
  3. Step 3: Cross multiply
    4,509.36x = 6,765.07 × 1,587.69
  4. Step 4: Simplify right side
    4,509.36x = 10,740,833.99
  5. Step 5: Solve for x
    x = 10,740,833.99/4,509.36
  6. Step 6: Final answer
    x = 2,381.90

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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.