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Finding the Fourth Proportional to 5,202.70, 7,804.05 and 4,878.70

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Solution

The fourth proportional to 5,202.70, 7,804.05 and 4,878.70 is: 7,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.70 : 7,804.05 = 4,878.70 : x
  2. Step 2: Convert to fraction form
    5,202.70/7,804.05 = 4,878.70/x
  3. Step 3: Cross multiply
    5,202.70x = 7,804.05 × 4,878.70
  4. Step 4: Simplify right side
    5,202.70x = 38,073,618.74
  5. Step 5: Solve for x
    x = 38,073,618.74/5,202.70
  6. Step 6: Final answer
    x = 7,318.05

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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.