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Finding the Fourth Proportional to 4,652.28, 6,977.78 and 1,730.18

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Solution

The fourth proportional to 4,652.28, 6,977.78 and 1,730.18 is: 2,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.28 : 6,977.78 = 1,730.18 : x
  2. Step 2: Convert to fraction form
    4,652.28/6,977.78 = 1,730.18/x
  3. Step 3: Cross multiply
    4,652.28x = 6,977.78 × 1,730.18
  4. Step 4: Simplify right side
    4,652.28x = 12,072,815.40
  5. Step 5: Solve for x
    x = 12,072,815.40/4,652.28
  6. Step 6: Final answer
    x = 2,595.03

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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.