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Finding the Fourth Proportional to 3,416.04, 5,124.45 and 950.88

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Solution

The fourth proportional to 3,416.04, 5,124.45 and 950.88 is: 1,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.04 : 5,124.45 = 950.88 : x
  2. Step 2: Convert to fraction form
    3,416.04/5,124.45 = 950.88/x
  3. Step 3: Cross multiply
    3,416.04x = 5,124.45 × 950.88
  4. Step 4: Simplify right side
    3,416.04x = 4,872,737.02
  5. Step 5: Solve for x
    x = 4,872,737.02/3,416.04
  6. Step 6: Final answer
    x = 1,426.43

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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.