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Finding the Fourth Proportional to 5,705.83, 7,874.10 and 3,348.01

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Solution

The fourth proportional to 5,705.83, 7,874.10 and 3,348.01 is: 4,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.83 : 7,874.10 = 3,348.01 : x
  2. Step 2: Convert to fraction form
    5,705.83/7,874.10 = 3,348.01/x
  3. Step 3: Cross multiply
    5,705.83x = 7,874.10 × 3,348.01
  4. Step 4: Simplify right side
    5,705.83x = 26,362,565.54
  5. Step 5: Solve for x
    x = 26,362,565.54/5,705.83
  6. Step 6: Final answer
    x = 4,620.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.