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Finding the Fourth Proportional to 4,510.62, 6,709.23 and 4,138.83

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Solution

The fourth proportional to 4,510.62, 6,709.23 and 4,138.83 is: 6,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.62 : 6,709.23 = 4,138.83 : x
  2. Step 2: Convert to fraction form
    4,510.62/6,709.23 = 4,138.83/x
  3. Step 3: Cross multiply
    4,510.62x = 6,709.23 × 4,138.83
  4. Step 4: Simplify right side
    4,510.62x = 27,768,362.40
  5. Step 5: Solve for x
    x = 27,768,362.40/4,510.62
  6. Step 6: Final answer
    x = 6,156.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.