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Finding the Fourth Proportional to 5,705.68, 8,542.74 and 2,926.36

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Solution

The fourth proportional to 5,705.68, 8,542.74 and 2,926.36 is: 4,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.68 : 8,542.74 = 2,926.36 : x
  2. Step 2: Convert to fraction form
    5,705.68/8,542.74 = 2,926.36/x
  3. Step 3: Cross multiply
    5,705.68x = 8,542.74 × 2,926.36
  4. Step 4: Simplify right side
    5,705.68x = 24,999,132.63
  5. Step 5: Solve for x
    x = 24,999,132.63/5,705.68
  6. Step 6: Final answer
    x = 4,381.45

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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.