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Finding the Fourth Proportional to 4,087.24, 6,130.84 and 1,009.24

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Solution

The fourth proportional to 4,087.24, 6,130.84 and 1,009.24 is: 1,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.24 : 6,130.84 = 1,009.24 : x
  2. Step 2: Convert to fraction form
    4,087.24/6,130.84 = 1,009.24/x
  3. Step 3: Cross multiply
    4,087.24x = 6,130.84 × 1,009.24
  4. Step 4: Simplify right side
    4,087.24x = 6,187,488.96
  5. Step 5: Solve for x
    x = 6,187,488.96/4,087.24
  6. Step 6: Final answer
    x = 1,513.86

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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.