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Finding the Fourth Proportional to 4,342.77, 6,509.06 and 3,821.69

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Solution

The fourth proportional to 4,342.77, 6,509.06 and 3,821.69 is: 5,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.77 : 6,509.06 = 3,821.69 : x
  2. Step 2: Convert to fraction form
    4,342.77/6,509.06 = 3,821.69/x
  3. Step 3: Cross multiply
    4,342.77x = 6,509.06 × 3,821.69
  4. Step 4: Simplify right side
    4,342.77x = 24,875,557.86
  5. Step 5: Solve for x
    x = 24,875,557.86/4,342.77
  6. Step 6: Final answer
    x = 5,728.04

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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.