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Finding the Fourth Proportional to 3,670.08, 5,502.24 and 1,361.76

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Solution

The fourth proportional to 3,670.08, 5,502.24 and 1,361.76 is: 2,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.08 : 5,502.24 = 1,361.76 : x
  2. Step 2: Convert to fraction form
    3,670.08/5,502.24 = 1,361.76/x
  3. Step 3: Cross multiply
    3,670.08x = 5,502.24 × 1,361.76
  4. Step 4: Simplify right side
    3,670.08x = 7,492,730.34
  5. Step 5: Solve for x
    x = 7,492,730.34/3,670.08
  6. Step 6: Final answer
    x = 2,041.57

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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.