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Finding the Fourth Proportional to 5,926.19, 8,889.81 and 1,543.64

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Solution

The fourth proportional to 5,926.19, 8,889.81 and 1,543.64 is: 2,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.19 : 8,889.81 = 1,543.64 : x
  2. Step 2: Convert to fraction form
    5,926.19/8,889.81 = 1,543.64/x
  3. Step 3: Cross multiply
    5,926.19x = 8,889.81 × 1,543.64
  4. Step 4: Simplify right side
    5,926.19x = 13,722,658.59
  5. Step 5: Solve for x
    x = 13,722,658.59/5,926.19
  6. Step 6: Final answer
    x = 2,315.60

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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.