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Finding the Fourth Proportional to 3,677.49, 5,070.47 and 3,203.64

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Solution

The fourth proportional to 3,677.49, 5,070.47 and 3,203.64 is: 4,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.49 : 5,070.47 = 3,203.64 : x
  2. Step 2: Convert to fraction form
    3,677.49/5,070.47 = 3,203.64/x
  3. Step 3: Cross multiply
    3,677.49x = 5,070.47 × 3,203.64
  4. Step 4: Simplify right side
    3,677.49x = 16,243,944.49
  5. Step 5: Solve for x
    x = 16,243,944.49/3,677.49
  6. Step 6: Final answer
    x = 4,417.13

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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.