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Finding the Fourth Proportional to 4,658.90, 6,428.55 and 2,669.07

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Solution

The fourth proportional to 4,658.90, 6,428.55 and 2,669.07 is: 3,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.90 : 6,428.55 = 2,669.07 : x
  2. Step 2: Convert to fraction form
    4,658.90/6,428.55 = 2,669.07/x
  3. Step 3: Cross multiply
    4,658.90x = 6,428.55 × 2,669.07
  4. Step 4: Simplify right side
    4,658.90x = 17,158,249.95
  5. Step 5: Solve for x
    x = 17,158,249.95/4,658.90
  6. Step 6: Final answer
    x = 3,682.90

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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.