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Finding the Fourth Proportional to 3,608.29, 5,412.63 and 1,142.93

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Solution

The fourth proportional to 3,608.29, 5,412.63 and 1,142.93 is: 1,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.29 : 5,412.63 = 1,142.93 : x
  2. Step 2: Convert to fraction form
    3,608.29/5,412.63 = 1,142.93/x
  3. Step 3: Cross multiply
    3,608.29x = 5,412.63 × 1,142.93
  4. Step 4: Simplify right side
    3,608.29x = 6,186,275.02
  5. Step 5: Solve for x
    x = 6,186,275.02/3,608.29
  6. Step 6: Final answer
    x = 1,714.46

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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.