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Finding the Fourth Proportional to 5,420.66, 8,130.14 and 1,722.40

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Solution

The fourth proportional to 5,420.66, 8,130.14 and 1,722.40 is: 2,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.66 : 8,130.14 = 1,722.40 : x
  2. Step 2: Convert to fraction form
    5,420.66/8,130.14 = 1,722.40/x
  3. Step 3: Cross multiply
    5,420.66x = 8,130.14 × 1,722.40
  4. Step 4: Simplify right side
    5,420.66x = 14,003,344.52
  5. Step 5: Solve for x
    x = 14,003,344.52/5,420.66
  6. Step 6: Final answer
    x = 2,583.33

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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.