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Finding the Fourth Proportional to 5,583.95, 7,705.80 and 3,066.01

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Solution

The fourth proportional to 5,583.95, 7,705.80 and 3,066.01 is: 4,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.95 : 7,705.80 = 3,066.01 : x
  2. Step 2: Convert to fraction form
    5,583.95/7,705.80 = 3,066.01/x
  3. Step 3: Cross multiply
    5,583.95x = 7,705.80 × 3,066.01
  4. Step 4: Simplify right side
    5,583.95x = 23,626,040.59
  5. Step 5: Solve for x
    x = 23,626,040.59/5,583.95
  6. Step 6: Final answer
    x = 4,231.06

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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.