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Finding the Fourth Proportional to 3,632.04, 5,448.10 and 1,292.08

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Solution

The fourth proportional to 3,632.04, 5,448.10 and 1,292.08 is: 1,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.04 : 5,448.10 = 1,292.08 : x
  2. Step 2: Convert to fraction form
    3,632.04/5,448.10 = 1,292.08/x
  3. Step 3: Cross multiply
    3,632.04x = 5,448.10 × 1,292.08
  4. Step 4: Simplify right side
    3,632.04x = 7,039,381.05
  5. Step 5: Solve for x
    x = 7,039,381.05/3,632.04
  6. Step 6: Final answer
    x = 1,938.13

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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.