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Finding the Fourth Proportional to 4,427.20, 6,642.72 and 1,830.72

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Solution

The fourth proportional to 4,427.20, 6,642.72 and 1,830.72 is: 2,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.20 : 6,642.72 = 1,830.72 : x
  2. Step 2: Convert to fraction form
    4,427.20/6,642.72 = 1,830.72/x
  3. Step 3: Cross multiply
    4,427.20x = 6,642.72 × 1,830.72
  4. Step 4: Simplify right side
    4,427.20x = 12,160,960.36
  5. Step 5: Solve for x
    x = 12,160,960.36/4,427.20
  6. Step 6: Final answer
    x = 2,746.87

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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.