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Finding the Fourth Proportional to 6,890.23, 9,510.67 and 4,057.38

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Solution

The fourth proportional to 6,890.23, 9,510.67 and 4,057.38 is: 5,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.23 : 9,510.67 = 4,057.38 : x
  2. Step 2: Convert to fraction form
    6,890.23/9,510.67 = 4,057.38/x
  3. Step 3: Cross multiply
    6,890.23x = 9,510.67 × 4,057.38
  4. Step 4: Simplify right side
    6,890.23x = 38,588,381.96
  5. Step 5: Solve for x
    x = 38,588,381.96/6,890.23
  6. Step 6: Final answer
    x = 5,600.45

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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.