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Finding the Fourth Proportional to 5,368.10, 8,047.35 and 2,080.10

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Solution

The fourth proportional to 5,368.10, 8,047.35 and 2,080.10 is: 3,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.10 : 8,047.35 = 2,080.10 : x
  2. Step 2: Convert to fraction form
    5,368.10/8,047.35 = 2,080.10/x
  3. Step 3: Cross multiply
    5,368.10x = 8,047.35 × 2,080.10
  4. Step 4: Simplify right side
    5,368.10x = 16,739,292.74
  5. Step 5: Solve for x
    x = 16,739,292.74/5,368.10
  6. Step 6: Final answer
    x = 3,118.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.