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Finding the Fourth Proportional to 5,677.83, 8,521.83 and 2,906.40

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Solution

The fourth proportional to 5,677.83, 8,521.83 and 2,906.40 is: 4,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.83 : 8,521.83 = 2,906.40 : x
  2. Step 2: Convert to fraction form
    5,677.83/8,521.83 = 2,906.40/x
  3. Step 3: Cross multiply
    5,677.83x = 8,521.83 × 2,906.40
  4. Step 4: Simplify right side
    5,677.83x = 24,767,846.71
  5. Step 5: Solve for x
    x = 24,767,846.71/5,677.83
  6. Step 6: Final answer
    x = 4,362.20

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