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Finding the Fourth Proportional to 4,334.51, 6,502.43 and 1,412.13

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Solution

The fourth proportional to 4,334.51, 6,502.43 and 1,412.13 is: 2,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.51 : 6,502.43 = 1,412.13 : x
  2. Step 2: Convert to fraction form
    4,334.51/6,502.43 = 1,412.13/x
  3. Step 3: Cross multiply
    4,334.51x = 6,502.43 × 1,412.13
  4. Step 4: Simplify right side
    4,334.51x = 9,182,280.01
  5. Step 5: Solve for x
    x = 9,182,280.01/4,334.51
  6. Step 6: Final answer
    x = 2,118.41

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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.