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Finding the Fourth Proportional to 3,670.63, 5,501.62 and 1,476.43

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Solution

The fourth proportional to 3,670.63, 5,501.62 and 1,476.43 is: 2,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.63 : 5,501.62 = 1,476.43 : x
  2. Step 2: Convert to fraction form
    3,670.63/5,501.62 = 1,476.43/x
  3. Step 3: Cross multiply
    3,670.63x = 5,501.62 × 1,476.43
  4. Step 4: Simplify right side
    3,670.63x = 8,122,756.82
  5. Step 5: Solve for x
    x = 8,122,756.82/3,670.63
  6. Step 6: Final answer
    x = 2,212.91

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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.