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Finding the Fourth Proportional to 5,583.68, 7,705.30 and 3,065.90

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Solution

The fourth proportional to 5,583.68, 7,705.30 and 3,065.90 is: 4,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.68 : 7,705.30 = 3,065.90 : x
  2. Step 2: Convert to fraction form
    5,583.68/7,705.30 = 3,065.90/x
  3. Step 3: Cross multiply
    5,583.68x = 7,705.30 × 3,065.90
  4. Step 4: Simplify right side
    5,583.68x = 23,623,690.79
  5. Step 5: Solve for x
    x = 23,623,690.79/5,583.68
  6. Step 6: Final answer
    x = 4,230.84

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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.