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Finding the Fourth Proportional to 4,653.18, 6,977.34 and 3,496.50

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Solution

The fourth proportional to 4,653.18, 6,977.34 and 3,496.50 is: 5,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.18 : 6,977.34 = 3,496.50 : x
  2. Step 2: Convert to fraction form
    4,653.18/6,977.34 = 3,496.50/x
  3. Step 3: Cross multiply
    4,653.18x = 6,977.34 × 3,496.50
  4. Step 4: Simplify right side
    4,653.18x = 24,396,269.31
  5. Step 5: Solve for x
    x = 24,396,269.31/4,653.18
  6. Step 6: Final answer
    x = 5,242.92

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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.