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Finding the Fourth Proportional to 5,384.34, 8,079.63 and 2,264.10

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Solution

The fourth proportional to 5,384.34, 8,079.63 and 2,264.10 is: 3,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.34 : 8,079.63 = 2,264.10 : x
  2. Step 2: Convert to fraction form
    5,384.34/8,079.63 = 2,264.10/x
  3. Step 3: Cross multiply
    5,384.34x = 8,079.63 × 2,264.10
  4. Step 4: Simplify right side
    5,384.34x = 18,293,090.28
  5. Step 5: Solve for x
    x = 18,293,090.28/5,384.34
  6. Step 6: Final answer
    x = 3,397.46

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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.