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Finding the Fourth Proportional to 4,334.14, 6,502.02 and 1,412.56

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Solution

The fourth proportional to 4,334.14, 6,502.02 and 1,412.56 is: 2,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.14 : 6,502.02 = 1,412.56 : x
  2. Step 2: Convert to fraction form
    4,334.14/6,502.02 = 1,412.56/x
  3. Step 3: Cross multiply
    4,334.14x = 6,502.02 × 1,412.56
  4. Step 4: Simplify right side
    4,334.14x = 9,184,493.37
  5. Step 5: Solve for x
    x = 9,184,493.37/4,334.14
  6. Step 6: Final answer
    x = 2,119.10

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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.