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Finding the Fourth Proportional to 5,737.10, 8,606.64 and 1,788.06

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Solution

The fourth proportional to 5,737.10, 8,606.64 and 1,788.06 is: 2,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.10 : 8,606.64 = 1,788.06 : x
  2. Step 2: Convert to fraction form
    5,737.10/8,606.64 = 1,788.06/x
  3. Step 3: Cross multiply
    5,737.10x = 8,606.64 × 1,788.06
  4. Step 4: Simplify right side
    5,737.10x = 15,389,188.72
  5. Step 5: Solve for x
    x = 15,389,188.72/5,737.10
  6. Step 6: Final answer
    x = 2,682.40

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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.