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Finding the Fourth Proportional to 4,061.76, 6,093.06 and 1,140.06

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Solution

The fourth proportional to 4,061.76, 6,093.06 and 1,140.06 is: 1,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.76 : 6,093.06 = 1,140.06 : x
  2. Step 2: Convert to fraction form
    4,061.76/6,093.06 = 1,140.06/x
  3. Step 3: Cross multiply
    4,061.76x = 6,093.06 × 1,140.06
  4. Step 4: Simplify right side
    4,061.76x = 6,946,453.98
  5. Step 5: Solve for x
    x = 6,946,453.98/4,061.76
  6. Step 6: Final answer
    x = 1,710.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.