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Finding the Fourth Proportional to 4,712.89, 6,503.82 and 2,945.53

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Solution

The fourth proportional to 4,712.89, 6,503.82 and 2,945.53 is: 4,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.89 : 6,503.82 = 2,945.53 : x
  2. Step 2: Convert to fraction form
    4,712.89/6,503.82 = 2,945.53/x
  3. Step 3: Cross multiply
    4,712.89x = 6,503.82 × 2,945.53
  4. Step 4: Simplify right side
    4,712.89x = 19,157,196.92
  5. Step 5: Solve for x
    x = 19,157,196.92/4,712.89
  6. Step 6: Final answer
    x = 4,064.85

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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.