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Finding the Fourth Proportional to 3,730.40, 5,590.56 and 1,420.64

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Solution

The fourth proportional to 3,730.40, 5,590.56 and 1,420.64 is: 2,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.40 : 5,590.56 = 1,420.64 : x
  2. Step 2: Convert to fraction form
    3,730.40/5,590.56 = 1,420.64/x
  3. Step 3: Cross multiply
    3,730.40x = 5,590.56 × 1,420.64
  4. Step 4: Simplify right side
    3,730.40x = 7,942,187.13
  5. Step 5: Solve for x
    x = 7,942,187.13/3,730.40
  6. Step 6: Final answer
    x = 2,129.04

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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.