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Finding the Fourth Proportional to 4,953.84, 6,824.70 and 3,459.12

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Solution

The fourth proportional to 4,953.84, 6,824.70 and 3,459.12 is: 4,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.84 : 6,824.70 = 3,459.12 : x
  2. Step 2: Convert to fraction form
    4,953.84/6,824.70 = 3,459.12/x
  3. Step 3: Cross multiply
    4,953.84x = 6,824.70 × 3,459.12
  4. Step 4: Simplify right side
    4,953.84x = 23,607,456.26
  5. Step 5: Solve for x
    x = 23,607,456.26/4,953.84
  6. Step 6: Final answer
    x = 4,765.49

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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.