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Finding the Fourth Proportional to 4,472.19, 6,703.62 and 1,509.61

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Solution

The fourth proportional to 4,472.19, 6,703.62 and 1,509.61 is: 2,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.19 : 6,703.62 = 1,509.61 : x
  2. Step 2: Convert to fraction form
    4,472.19/6,703.62 = 1,509.61/x
  3. Step 3: Cross multiply
    4,472.19x = 6,703.62 × 1,509.61
  4. Step 4: Simplify right side
    4,472.19x = 10,119,861.85
  5. Step 5: Solve for x
    x = 10,119,861.85/4,472.19
  6. Step 6: Final answer
    x = 2,262.84

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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.