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Finding the Fourth Proportional to 3,821.32, 5,730.08 and 1,355.77

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Solution

The fourth proportional to 3,821.32, 5,730.08 and 1,355.77 is: 2,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.32 : 5,730.08 = 1,355.77 : x
  2. Step 2: Convert to fraction form
    3,821.32/5,730.08 = 1,355.77/x
  3. Step 3: Cross multiply
    3,821.32x = 5,730.08 × 1,355.77
  4. Step 4: Simplify right side
    3,821.32x = 7,768,641.91
  5. Step 5: Solve for x
    x = 7,768,641.91/3,821.32
  6. Step 6: Final answer
    x = 2,032.98

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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.