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Finding the Fourth Proportional to 4,004.70, 5,523.21 and 2,509.80

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Solution

The fourth proportional to 4,004.70, 5,523.21 and 2,509.80 is: 3,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.70 : 5,523.21 = 2,509.80 : x
  2. Step 2: Convert to fraction form
    4,004.70/5,523.21 = 2,509.80/x
  3. Step 3: Cross multiply
    4,004.70x = 5,523.21 × 2,509.80
  4. Step 4: Simplify right side
    4,004.70x = 13,862,152.46
  5. Step 5: Solve for x
    x = 13,862,152.46/4,004.70
  6. Step 6: Final answer
    x = 3,461.47

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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.