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Finding the Fourth Proportional to 4,635.74, 6,400.28 and 3,045.22

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Solution

The fourth proportional to 4,635.74, 6,400.28 and 3,045.22 is: 4,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.74 : 6,400.28 = 3,045.22 : x
  2. Step 2: Convert to fraction form
    4,635.74/6,400.28 = 3,045.22/x
  3. Step 3: Cross multiply
    4,635.74x = 6,400.28 × 3,045.22
  4. Step 4: Simplify right side
    4,635.74x = 19,490,257.43
  5. Step 5: Solve for x
    x = 19,490,257.43/4,635.74
  6. Step 6: Final answer
    x = 4,204.34

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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.