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Finding the Fourth Proportional to 3,475.58, 5,206.62 and 2,647.76

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Solution

The fourth proportional to 3,475.58, 5,206.62 and 2,647.76 is: 3,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.58 : 5,206.62 = 2,647.76 : x
  2. Step 2: Convert to fraction form
    3,475.58/5,206.62 = 2,647.76/x
  3. Step 3: Cross multiply
    3,475.58x = 5,206.62 × 2,647.76
  4. Step 4: Simplify right side
    3,475.58x = 13,785,880.17
  5. Step 5: Solve for x
    x = 13,785,880.17/3,475.58
  6. Step 6: Final answer
    x = 3,966.50

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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.