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Finding the Fourth Proportional to 5,818.90, 8,709.62 and 4,066.06

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Solution

The fourth proportional to 5,818.90, 8,709.62 and 4,066.06 is: 6,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.90 : 8,709.62 = 4,066.06 : x
  2. Step 2: Convert to fraction form
    5,818.90/8,709.62 = 4,066.06/x
  3. Step 3: Cross multiply
    5,818.90x = 8,709.62 × 4,066.06
  4. Step 4: Simplify right side
    5,818.90x = 35,413,837.50
  5. Step 5: Solve for x
    x = 35,413,837.50/5,818.90
  6. Step 6: Final answer
    x = 6,086.00

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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.