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Finding the Fourth Proportional to 4,616.21, 6,891.05 and 4,288.16

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Solution

The fourth proportional to 4,616.21, 6,891.05 and 4,288.16 is: 6,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.21 : 6,891.05 = 4,288.16 : x
  2. Step 2: Convert to fraction form
    4,616.21/6,891.05 = 4,288.16/x
  3. Step 3: Cross multiply
    4,616.21x = 6,891.05 × 4,288.16
  4. Step 4: Simplify right side
    4,616.21x = 29,549,885.15
  5. Step 5: Solve for x
    x = 29,549,885.15/4,616.21
  6. Step 6: Final answer
    x = 6,401.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.