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Finding the Fourth Proportional to 6,193.42, 8,545.65 and 3,925.51

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Solution

The fourth proportional to 6,193.42, 8,545.65 and 3,925.51 is: 5,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.42 : 8,545.65 = 3,925.51 : x
  2. Step 2: Convert to fraction form
    6,193.42/8,545.65 = 3,925.51/x
  3. Step 3: Cross multiply
    6,193.42x = 8,545.65 × 3,925.51
  4. Step 4: Simplify right side
    6,193.42x = 33,546,034.53
  5. Step 5: Solve for x
    x = 33,546,034.53/6,193.42
  6. Step 6: Final answer
    x = 5,416.40

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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.