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Finding the Fourth Proportional to 3,802.10, 5,704.36 and 2,339.24

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Solution

The fourth proportional to 3,802.10, 5,704.36 and 2,339.24 is: 3,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.10 : 5,704.36 = 2,339.24 : x
  2. Step 2: Convert to fraction form
    3,802.10/5,704.36 = 2,339.24/x
  3. Step 3: Cross multiply
    3,802.10x = 5,704.36 × 2,339.24
  4. Step 4: Simplify right side
    3,802.10x = 13,343,867.09
  5. Step 5: Solve for x
    x = 13,343,867.09/3,802.10
  6. Step 6: Final answer
    x = 3,509.60

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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.