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Finding the Fourth Proportional to 4,707.84, 6,493.21 and 3,448.44

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Solution

The fourth proportional to 4,707.84, 6,493.21 and 3,448.44 is: 4,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.84 : 6,493.21 = 3,448.44 : x
  2. Step 2: Convert to fraction form
    4,707.84/6,493.21 = 3,448.44/x
  3. Step 3: Cross multiply
    4,707.84x = 6,493.21 × 3,448.44
  4. Step 4: Simplify right side
    4,707.84x = 22,391,455.87
  5. Step 5: Solve for x
    x = 22,391,455.87/4,707.84
  6. Step 6: Final answer
    x = 4,756.21

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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.