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Finding the Fourth Proportional to 4,645.84, 6,970.64 and 2,456.48

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Solution

The fourth proportional to 4,645.84, 6,970.64 and 2,456.48 is: 3,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.84 : 6,970.64 = 2,456.48 : x
  2. Step 2: Convert to fraction form
    4,645.84/6,970.64 = 2,456.48/x
  3. Step 3: Cross multiply
    4,645.84x = 6,970.64 × 2,456.48
  4. Step 4: Simplify right side
    4,645.84x = 17,123,237.75
  5. Step 5: Solve for x
    x = 17,123,237.75/4,645.84
  6. Step 6: Final answer
    x = 3,685.71

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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.