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Finding the Fourth Proportional to 3,420.74, 5,130.68 and 1,339.31

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Solution

The fourth proportional to 3,420.74, 5,130.68 and 1,339.31 is: 2,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.74 : 5,130.68 = 1,339.31 : x
  2. Step 2: Convert to fraction form
    3,420.74/5,130.68 = 1,339.31/x
  3. Step 3: Cross multiply
    3,420.74x = 5,130.68 × 1,339.31
  4. Step 4: Simplify right side
    3,420.74x = 6,871,577.16
  5. Step 5: Solve for x
    x = 6,871,577.16/3,420.74
  6. Step 6: Final answer
    x = 2,008.80

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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.