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Finding the Fourth Proportional to 3,763.02, 5,649.30 and 3,071.04

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Solution

The fourth proportional to 3,763.02, 5,649.30 and 3,071.04 is: 4,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.02 : 5,649.30 = 3,071.04 : x
  2. Step 2: Convert to fraction form
    3,763.02/5,649.30 = 3,071.04/x
  3. Step 3: Cross multiply
    3,763.02x = 5,649.30 × 3,071.04
  4. Step 4: Simplify right side
    3,763.02x = 17,349,226.27
  5. Step 5: Solve for x
    x = 17,349,226.27/3,763.02
  6. Step 6: Final answer
    x = 4,610.45

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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.