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Finding the Fourth Proportional to 3,992.24, 5,509.12 and 2,223.52

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Solution

The fourth proportional to 3,992.24, 5,509.12 and 2,223.52 is: 3,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.24 : 5,509.12 = 2,223.52 : x
  2. Step 2: Convert to fraction form
    3,992.24/5,509.12 = 2,223.52/x
  3. Step 3: Cross multiply
    3,992.24x = 5,509.12 × 2,223.52
  4. Step 4: Simplify right side
    3,992.24x = 12,249,638.50
  5. Step 5: Solve for x
    x = 12,249,638.50/3,992.24
  6. Step 6: Final answer
    x = 3,068.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.