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Finding the Fourth Proportional to 7,641.58, 10,545.34 and 4,284.39

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Solution

The fourth proportional to 7,641.58, 10,545.34 and 4,284.39 is: 5,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.58 : 10,545.34 = 4,284.39 : x
  2. Step 2: Convert to fraction form
    7,641.58/10,545.34 = 4,284.39/x
  3. Step 3: Cross multiply
    7,641.58x = 10,545.34 × 4,284.39
  4. Step 4: Simplify right side
    7,641.58x = 45,180,349.24
  5. Step 5: Solve for x
    x = 45,180,349.24/7,641.58
  6. Step 6: Final answer
    x = 5,912.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.