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Finding the Fourth Proportional to 4,892.45, 6,743.16 and 3,530.84

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Solution

The fourth proportional to 4,892.45, 6,743.16 and 3,530.84 is: 4,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.45 : 6,743.16 = 3,530.84 : x
  2. Step 2: Convert to fraction form
    4,892.45/6,743.16 = 3,530.84/x
  3. Step 3: Cross multiply
    4,892.45x = 6,743.16 × 3,530.84
  4. Step 4: Simplify right side
    4,892.45x = 23,808,985.34
  5. Step 5: Solve for x
    x = 23,808,985.34/4,892.45
  6. Step 6: Final answer
    x = 4,866.48

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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.