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Finding the Fourth Proportional to 4,672.98, 6,448.45 and 2,904.57

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Solution

The fourth proportional to 4,672.98, 6,448.45 and 2,904.57 is: 4,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.98 : 6,448.45 = 2,904.57 : x
  2. Step 2: Convert to fraction form
    4,672.98/6,448.45 = 2,904.57/x
  3. Step 3: Cross multiply
    4,672.98x = 6,448.45 × 2,904.57
  4. Step 4: Simplify right side
    4,672.98x = 18,729,974.42
  5. Step 5: Solve for x
    x = 18,729,974.42/4,672.98
  6. Step 6: Final answer
    x = 4,008.14

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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.