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Finding the Fourth Proportional to 4,477.92, 6,719.52 and 2,014.68

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Solution

The fourth proportional to 4,477.92, 6,719.52 and 2,014.68 is: 3,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.92 : 6,719.52 = 2,014.68 : x
  2. Step 2: Convert to fraction form
    4,477.92/6,719.52 = 2,014.68/x
  3. Step 3: Cross multiply
    4,477.92x = 6,719.52 × 2,014.68
  4. Step 4: Simplify right side
    4,477.92x = 13,537,682.55
  5. Step 5: Solve for x
    x = 13,537,682.55/4,477.92
  6. Step 6: Final answer
    x = 3,023.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.