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Finding the Fourth Proportional to 4,617.86, 6,374.01 and 3,221.06

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Solution

The fourth proportional to 4,617.86, 6,374.01 and 3,221.06 is: 4,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.86 : 6,374.01 = 3,221.06 : x
  2. Step 2: Convert to fraction form
    4,617.86/6,374.01 = 3,221.06/x
  3. Step 3: Cross multiply
    4,617.86x = 6,374.01 × 3,221.06
  4. Step 4: Simplify right side
    4,617.86x = 20,531,068.65
  5. Step 5: Solve for x
    x = 20,531,068.65/4,617.86
  6. Step 6: Final answer
    x = 4,446.01

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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.