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Finding the Fourth Proportional to 3,669.86, 5,505.12 and 1,477.40

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Solution

The fourth proportional to 3,669.86, 5,505.12 and 1,477.40 is: 2,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.86 : 5,505.12 = 1,477.40 : x
  2. Step 2: Convert to fraction form
    3,669.86/5,505.12 = 1,477.40/x
  3. Step 3: Cross multiply
    3,669.86x = 5,505.12 × 1,477.40
  4. Step 4: Simplify right side
    3,669.86x = 8,133,236.76
  5. Step 5: Solve for x
    x = 8,133,236.76/3,669.86
  6. Step 6: Final answer
    x = 2,216.23

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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.