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Finding the Fourth Proportional to 4,034.96, 6,053.64 and 3,420.16

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Solution

The fourth proportional to 4,034.96, 6,053.64 and 3,420.16 is: 5,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.96 : 6,053.64 = 3,420.16 : x
  2. Step 2: Convert to fraction form
    4,034.96/6,053.64 = 3,420.16/x
  3. Step 3: Cross multiply
    4,034.96x = 6,053.64 × 3,420.16
  4. Step 4: Simplify right side
    4,034.96x = 20,704,417.38
  5. Step 5: Solve for x
    x = 20,704,417.38/4,034.96
  6. Step 6: Final answer
    x = 5,131.26

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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.