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Finding the Fourth Proportional to 4,695.83, 7,044.83 and 1,408.99

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Solution

The fourth proportional to 4,695.83, 7,044.83 and 1,408.99 is: 2,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.83 : 7,044.83 = 1,408.99 : x
  2. Step 2: Convert to fraction form
    4,695.83/7,044.83 = 1,408.99/x
  3. Step 3: Cross multiply
    4,695.83x = 7,044.83 × 1,408.99
  4. Step 4: Simplify right side
    4,695.83x = 9,926,087.98
  5. Step 5: Solve for x
    x = 9,926,087.98/4,695.83
  6. Step 6: Final answer
    x = 2,113.81

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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.