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Finding the Fourth Proportional to 4,594.86, 6,876.90 and 3,364.47

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Solution

The fourth proportional to 4,594.86, 6,876.90 and 3,364.47 is: 5,035.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.86 : 6,876.90 = 3,364.47 : x
  2. Step 2: Convert to fraction form
    4,594.86/6,876.90 = 3,364.47/x
  3. Step 3: Cross multiply
    4,594.86x = 6,876.90 × 3,364.47
  4. Step 4: Simplify right side
    4,594.86x = 23,137,123.74
  5. Step 5: Solve for x
    x = 23,137,123.74/4,594.86
  6. Step 6: Final answer
    x = 5,035.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.