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Finding the Fourth Proportional to 3,356.40, 4,632.04 and 1,864.33

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Solution

The fourth proportional to 3,356.40, 4,632.04 and 1,864.33 is: 2,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.40 : 4,632.04 = 1,864.33 : x
  2. Step 2: Convert to fraction form
    3,356.40/4,632.04 = 1,864.33/x
  3. Step 3: Cross multiply
    3,356.40x = 4,632.04 × 1,864.33
  4. Step 4: Simplify right side
    3,356.40x = 8,635,651.13
  5. Step 5: Solve for x
    x = 8,635,651.13/3,356.40
  6. Step 6: Final answer
    x = 2,572.89

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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.