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Finding the Fourth Proportional to 4,509.66, 6,762.67 and 1,587.28

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Solution

The fourth proportional to 4,509.66, 6,762.67 and 1,587.28 is: 2,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.66 : 6,762.67 = 1,587.28 : x
  2. Step 2: Convert to fraction form
    4,509.66/6,762.67 = 1,587.28/x
  3. Step 3: Cross multiply
    4,509.66x = 6,762.67 × 1,587.28
  4. Step 4: Simplify right side
    4,509.66x = 10,734,250.84
  5. Step 5: Solve for x
    x = 10,734,250.84/4,509.66
  6. Step 6: Final answer
    x = 2,380.28

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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.