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Finding the Fourth Proportional to 3,514.49, 4,856.56 and 3,038.82

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Solution

The fourth proportional to 3,514.49, 4,856.56 and 3,038.82 is: 4,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.49 : 4,856.56 = 3,038.82 : x
  2. Step 2: Convert to fraction form
    3,514.49/4,856.56 = 3,038.82/x
  3. Step 3: Cross multiply
    3,514.49x = 4,856.56 × 3,038.82
  4. Step 4: Simplify right side
    3,514.49x = 14,758,185.85
  5. Step 5: Solve for x
    x = 14,758,185.85/3,514.49
  6. Step 6: Final answer
    x = 4,199.24

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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.