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Finding the Fourth Proportional to 4,400.76, 6,586.02 and 4,219.32

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Solution

The fourth proportional to 4,400.76, 6,586.02 and 4,219.32 is: 6,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.76 : 6,586.02 = 4,219.32 : x
  2. Step 2: Convert to fraction form
    4,400.76/6,586.02 = 4,219.32/x
  3. Step 3: Cross multiply
    4,400.76x = 6,586.02 × 4,219.32
  4. Step 4: Simplify right side
    4,400.76x = 27,788,525.91
  5. Step 5: Solve for x
    x = 27,788,525.91/4,400.76
  6. Step 6: Final answer
    x = 6,314.48

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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.