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Finding the Fourth Proportional to 4,462.10, 6,693.22 and 1,690.07

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Solution

The fourth proportional to 4,462.10, 6,693.22 and 1,690.07 is: 2,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.10 : 6,693.22 = 1,690.07 : x
  2. Step 2: Convert to fraction form
    4,462.10/6,693.22 = 1,690.07/x
  3. Step 3: Cross multiply
    4,462.10x = 6,693.22 × 1,690.07
  4. Step 4: Simplify right side
    4,462.10x = 11,312,010.33
  5. Step 5: Solve for x
    x = 11,312,010.33/4,462.10
  6. Step 6: Final answer
    x = 2,535.13

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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.