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Finding the Fourth Proportional to 5,196.76, 7,798.98 and 3,813.68

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Solution

The fourth proportional to 5,196.76, 7,798.98 and 3,813.68 is: 5,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.76 : 7,798.98 = 3,813.68 : x
  2. Step 2: Convert to fraction form
    5,196.76/7,798.98 = 3,813.68/x
  3. Step 3: Cross multiply
    5,196.76x = 7,798.98 × 3,813.68
  4. Step 4: Simplify right side
    5,196.76x = 29,742,847.85
  5. Step 5: Solve for x
    x = 29,742,847.85/5,196.76
  6. Step 6: Final answer
    x = 5,723.35

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1.5x scale

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.