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Finding the Fourth Proportional to 4,695.33, 7,044.08 and 1,408.49

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Solution

The fourth proportional to 4,695.33, 7,044.08 and 1,408.49 is: 2,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.33 : 7,044.08 = 1,408.49 : x
  2. Step 2: Convert to fraction form
    4,695.33/7,044.08 = 1,408.49/x
  3. Step 3: Cross multiply
    4,695.33x = 7,044.08 × 1,408.49
  4. Step 4: Simplify right side
    4,695.33x = 9,921,502.37
  5. Step 5: Solve for x
    x = 9,921,502.37/4,695.33
  6. Step 6: Final answer
    x = 2,113.06

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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.