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Finding the Fourth Proportional to 3,218.39, 4,827.75 and 910.07

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Solution

The fourth proportional to 3,218.39, 4,827.75 and 910.07 is: 1,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.39 : 4,827.75 = 910.07 : x
  2. Step 2: Convert to fraction form
    3,218.39/4,827.75 = 910.07/x
  3. Step 3: Cross multiply
    3,218.39x = 4,827.75 × 910.07
  4. Step 4: Simplify right side
    3,218.39x = 4,393,590.44
  5. Step 5: Solve for x
    x = 4,393,590.44/3,218.39
  6. Step 6: Final answer
    x = 1,365.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.