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Finding the Fourth Proportional to 5,006.86, 6,905.82 and 4,342.57

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Solution

The fourth proportional to 5,006.86, 6,905.82 and 4,342.57 is: 5,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.86 : 6,905.82 = 4,342.57 : x
  2. Step 2: Convert to fraction form
    5,006.86/6,905.82 = 4,342.57/x
  3. Step 3: Cross multiply
    5,006.86x = 6,905.82 × 4,342.57
  4. Step 4: Simplify right side
    5,006.86x = 29,989,006.76
  5. Step 5: Solve for x
    x = 29,989,006.76/5,006.86
  6. Step 6: Final answer
    x = 5,989.58

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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.