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Finding the Fourth Proportional to 4,549.47, 6,824.34 and 1,776.03

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Solution

The fourth proportional to 4,549.47, 6,824.34 and 1,776.03 is: 2,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.47 : 6,824.34 = 1,776.03 : x
  2. Step 2: Convert to fraction form
    4,549.47/6,824.34 = 1,776.03/x
  3. Step 3: Cross multiply
    4,549.47x = 6,824.34 × 1,776.03
  4. Step 4: Simplify right side
    4,549.47x = 12,120,232.57
  5. Step 5: Solve for x
    x = 12,120,232.57/4,549.47
  6. Step 6: Final answer
    x = 2,664.10

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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.