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Finding the Fourth Proportional to 3,677.84, 5,516.76 and 904.52

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Solution

The fourth proportional to 3,677.84, 5,516.76 and 904.52 is: 1,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.84 : 5,516.76 = 904.52 : x
  2. Step 2: Convert to fraction form
    3,677.84/5,516.76 = 904.52/x
  3. Step 3: Cross multiply
    3,677.84x = 5,516.76 × 904.52
  4. Step 4: Simplify right side
    3,677.84x = 4,990,019.76
  5. Step 5: Solve for x
    x = 4,990,019.76/3,677.84
  6. Step 6: Final answer
    x = 1,356.78

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Why These Related Problems?

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