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Finding the Fourth Proportional to 4,494.40, 6,746.39 and 3,977.68

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Solution

The fourth proportional to 4,494.40, 6,746.39 and 3,977.68 is: 5,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.40 : 6,746.39 = 3,977.68 : x
  2. Step 2: Convert to fraction form
    4,494.40/6,746.39 = 3,977.68/x
  3. Step 3: Cross multiply
    4,494.40x = 6,746.39 × 3,977.68
  4. Step 4: Simplify right side
    4,494.40x = 26,834,980.58
  5. Step 5: Solve for x
    x = 26,834,980.58/4,494.40
  6. Step 6: Final answer
    x = 5,970.76

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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.