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Finding the Fourth Proportional to 3,146.34, 4,699.39 and 2,849.41

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Solution

The fourth proportional to 3,146.34, 4,699.39 and 2,849.41 is: 4,255.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.34 : 4,699.39 = 2,849.41 : x
  2. Step 2: Convert to fraction form
    3,146.34/4,699.39 = 2,849.41/x
  3. Step 3: Cross multiply
    3,146.34x = 4,699.39 × 2,849.41
  4. Step 4: Simplify right side
    3,146.34x = 13,390,465.36
  5. Step 5: Solve for x
    x = 13,390,465.36/3,146.34
  6. Step 6: Final answer
    x = 4,255.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.