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Finding the Fourth Proportional to 6,007.11, 8,289.54 and 3,354

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Solution

The fourth proportional to 6,007.11, 8,289.54 and 3,354 is: 4,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.11 : 8,289.54 = 3,354 : x
  2. Step 2: Convert to fraction form
    6,007.11/8,289.54 = 3,354/x
  3. Step 3: Cross multiply
    6,007.11x = 8,289.54 × 3,354
  4. Step 4: Simplify right side
    6,007.11x = 27,803,117.16
  5. Step 5: Solve for x
    x = 27,803,117.16/6,007.11
  6. Step 6: Final answer
    x = 4,628.37

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Why These Related Problems?

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