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Finding the Fourth Proportional to 4,647.90, 6,414.66 and 2,658.72

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Solution

The fourth proportional to 4,647.90, 6,414.66 and 2,658.72 is: 3,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.90 : 6,414.66 = 2,658.72 : x
  2. Step 2: Convert to fraction form
    4,647.90/6,414.66 = 2,658.72/x
  3. Step 3: Cross multiply
    4,647.90x = 6,414.66 × 2,658.72
  4. Step 4: Simplify right side
    4,647.90x = 17,054,784.84
  5. Step 5: Solve for x
    x = 17,054,784.84/4,647.90
  6. Step 6: Final answer
    x = 3,669.35

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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.