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Finding the Fourth Proportional to 4,011.74, 5,536.02 and 2,243

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Solution

The fourth proportional to 4,011.74, 5,536.02 and 2,243 is: 3,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.74 : 5,536.02 = 2,243 : x
  2. Step 2: Convert to fraction form
    4,011.74/5,536.02 = 2,243/x
  3. Step 3: Cross multiply
    4,011.74x = 5,536.02 × 2,243
  4. Step 4: Simplify right side
    4,011.74x = 12,417,292.86
  5. Step 5: Solve for x
    x = 12,417,292.86/4,011.74
  6. Step 6: Final answer
    x = 3,095.24

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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.