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Finding the Fourth Proportional to 4,697.31, 7,042.63 and 2,355.63

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Solution

The fourth proportional to 4,697.31, 7,042.63 and 2,355.63 is: 3,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.31 : 7,042.63 = 2,355.63 : x
  2. Step 2: Convert to fraction form
    4,697.31/7,042.63 = 2,355.63/x
  3. Step 3: Cross multiply
    4,697.31x = 7,042.63 × 2,355.63
  4. Step 4: Simplify right side
    4,697.31x = 16,589,802.62
  5. Step 5: Solve for x
    x = 16,589,802.62/4,697.31
  6. Step 6: Final answer
    x = 3,531.77

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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.