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Finding the Fourth Proportional to 6,402.82, 8,834.82 and 3,569.58

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Solution

The fourth proportional to 6,402.82, 8,834.82 and 3,569.58 is: 4,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.82 : 8,834.82 = 3,569.58 : x
  2. Step 2: Convert to fraction form
    6,402.82/8,834.82 = 3,569.58/x
  3. Step 3: Cross multiply
    6,402.82x = 8,834.82 × 3,569.58
  4. Step 4: Simplify right side
    6,402.82x = 31,536,596.78
  5. Step 5: Solve for x
    x = 31,536,596.78/6,402.82
  6. Step 6: Final answer
    x = 4,925.42

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