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Finding the Fourth Proportional to 4,669.07, 6,438.98 and 3,408.13

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Solution

The fourth proportional to 4,669.07, 6,438.98 and 3,408.13 is: 4,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.07 : 6,438.98 = 3,408.13 : x
  2. Step 2: Convert to fraction form
    4,669.07/6,438.98 = 3,408.13/x
  3. Step 3: Cross multiply
    4,669.07x = 6,438.98 × 3,408.13
  4. Step 4: Simplify right side
    4,669.07x = 21,944,880.91
  5. Step 5: Solve for x
    x = 21,944,880.91/4,669.07
  6. Step 6: Final answer
    x = 4,700.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.