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Finding the Fourth Proportional to 3,730.68, 5,592.72 and 1,420.56

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Solution

The fourth proportional to 3,730.68, 5,592.72 and 1,420.56 is: 2,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.68 : 5,592.72 = 1,420.56 : x
  2. Step 2: Convert to fraction form
    3,730.68/5,592.72 = 1,420.56/x
  3. Step 3: Cross multiply
    3,730.68x = 5,592.72 × 1,420.56
  4. Step 4: Simplify right side
    3,730.68x = 7,944,794.32
  5. Step 5: Solve for x
    x = 7,944,794.32/3,730.68
  6. Step 6: Final answer
    x = 2,129.58

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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.