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Finding the Fourth Proportional to 3,412.54, 4,713.65 and 2,610.98

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Solution

The fourth proportional to 3,412.54, 4,713.65 and 2,610.98 is: 3,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.54 : 4,713.65 = 2,610.98 : x
  2. Step 2: Convert to fraction form
    3,412.54/4,713.65 = 2,610.98/x
  3. Step 3: Cross multiply
    3,412.54x = 4,713.65 × 2,610.98
  4. Step 4: Simplify right side
    3,412.54x = 12,307,235.24
  5. Step 5: Solve for x
    x = 12,307,235.24/3,412.54
  6. Step 6: Final answer
    x = 3,606.48

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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.