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Finding the Fourth Proportional to 4,206.10, 6,064.56 and 4,206.10

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Solution

The fourth proportional to 4,206.10, 6,064.56 and 4,206.10 is: 6,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.10 : 6,064.56 = 4,206.10 : x
  2. Step 2: Convert to fraction form
    4,206.10/6,064.56 = 4,206.10/x
  3. Step 3: Cross multiply
    4,206.10x = 6,064.56 × 4,206.10
  4. Step 4: Simplify right side
    4,206.10x = 25,508,145.82
  5. Step 5: Solve for x
    x = 25,508,145.82/4,206.10
  6. Step 6: Final answer
    x = 6,064.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.