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Finding the Fourth Proportional to 3,527.88, 4,866.02 and 3,412.04

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Solution

The fourth proportional to 3,527.88, 4,866.02 and 3,412.04 is: 4,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.88 : 4,866.02 = 3,412.04 : x
  2. Step 2: Convert to fraction form
    3,527.88/4,866.02 = 3,412.04/x
  3. Step 3: Cross multiply
    3,527.88x = 4,866.02 × 3,412.04
  4. Step 4: Simplify right side
    3,527.88x = 16,603,054.88
  5. Step 5: Solve for x
    x = 16,603,054.88/3,527.88
  6. Step 6: Final answer
    x = 4,706.24

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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.