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Finding the Fourth Proportional to 3,302.78, 4,549.77 and 2,829.13

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Solution

The fourth proportional to 3,302.78, 4,549.77 and 2,829.13 is: 3,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.78 : 4,549.77 = 2,829.13 : x
  2. Step 2: Convert to fraction form
    3,302.78/4,549.77 = 2,829.13/x
  3. Step 3: Cross multiply
    3,302.78x = 4,549.77 × 2,829.13
  4. Step 4: Simplify right side
    3,302.78x = 12,871,890.80
  5. Step 5: Solve for x
    x = 12,871,890.80/3,302.78
  6. Step 6: Final answer
    x = 3,897.29

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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.