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Finding the Fourth Proportional to 5,051.96, 7,579.12 and 1,589.20

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Solution

The fourth proportional to 5,051.96, 7,579.12 and 1,589.20 is: 2,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.96 : 7,579.12 = 1,589.20 : x
  2. Step 2: Convert to fraction form
    5,051.96/7,579.12 = 1,589.20/x
  3. Step 3: Cross multiply
    5,051.96x = 7,579.12 × 1,589.20
  4. Step 4: Simplify right side
    5,051.96x = 12,044,737.50
  5. Step 5: Solve for x
    x = 12,044,737.50/5,051.96
  6. Step 6: Final answer
    x = 2,384.17

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Why These Related Problems?

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