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Finding the Fourth Proportional to 3,677.40, 5,516.10 and 904.08

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Solution

The fourth proportional to 3,677.40, 5,516.10 and 904.08 is: 1,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.40 : 5,516.10 = 904.08 : x
  2. Step 2: Convert to fraction form
    3,677.40/5,516.10 = 904.08/x
  3. Step 3: Cross multiply
    3,677.40x = 5,516.10 × 904.08
  4. Step 4: Simplify right side
    3,677.40x = 4,986,995.69
  5. Step 5: Solve for x
    x = 4,986,995.69/3,677.40
  6. Step 6: Final answer
    x = 1,356.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.