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Finding the Fourth Proportional to 4,686.86, 7,033.70 and 3,457.58

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Solution

The fourth proportional to 4,686.86, 7,033.70 and 3,457.58 is: 5,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.86 : 7,033.70 = 3,457.58 : x
  2. Step 2: Convert to fraction form
    4,686.86/7,033.70 = 3,457.58/x
  3. Step 3: Cross multiply
    4,686.86x = 7,033.70 × 3,457.58
  4. Step 4: Simplify right side
    4,686.86x = 24,319,553.92
  5. Step 5: Solve for x
    x = 24,319,553.92/4,686.86
  6. Step 6: Final answer
    x = 5,188.88

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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.