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Finding the Fourth Proportional to 3,677.34, 5,516.02 and 904.02

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Solution

The fourth proportional to 3,677.34, 5,516.02 and 904.02 is: 1,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.34 : 5,516.02 = 904.02 : x
  2. Step 2: Convert to fraction form
    3,677.34/5,516.02 = 904.02/x
  3. Step 3: Cross multiply
    3,677.34x = 5,516.02 × 904.02
  4. Step 4: Simplify right side
    3,677.34x = 4,986,592.40
  5. Step 5: Solve for x
    x = 4,986,592.40/3,677.34
  6. Step 6: Final answer
    x = 1,356.03

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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.