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Finding the Fourth Proportional to 4,832.66, 6,666.87 and 3,416.42

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Solution

The fourth proportional to 4,832.66, 6,666.87 and 3,416.42 is: 4,713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.66 : 6,666.87 = 3,416.42 : x
  2. Step 2: Convert to fraction form
    4,832.66/6,666.87 = 3,416.42/x
  3. Step 3: Cross multiply
    4,832.66x = 6,666.87 × 3,416.42
  4. Step 4: Simplify right side
    4,832.66x = 22,776,828.01
  5. Step 5: Solve for x
    x = 22,776,828.01/4,832.66
  6. Step 6: Final answer
    x = 4,713.10

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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.