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Finding the Fourth Proportional to 4,007.46, 6,011.14 and 1,085.76

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Solution

The fourth proportional to 4,007.46, 6,011.14 and 1,085.76 is: 1,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.46 : 6,011.14 = 1,085.76 : x
  2. Step 2: Convert to fraction form
    4,007.46/6,011.14 = 1,085.76/x
  3. Step 3: Cross multiply
    4,007.46x = 6,011.14 × 1,085.76
  4. Step 4: Simplify right side
    4,007.46x = 6,526,655.37
  5. Step 5: Solve for x
    x = 6,526,655.37/4,007.46
  6. Step 6: Final answer
    x = 1,628.63

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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.