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Finding the Fourth Proportional to 4,803.60, 7,202.52 and 1,878.42

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Solution

The fourth proportional to 4,803.60, 7,202.52 and 1,878.42 is: 2,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.60 : 7,202.52 = 1,878.42 : x
  2. Step 2: Convert to fraction form
    4,803.60/7,202.52 = 1,878.42/x
  3. Step 3: Cross multiply
    4,803.60x = 7,202.52 × 1,878.42
  4. Step 4: Simplify right side
    4,803.60x = 13,529,357.62
  5. Step 5: Solve for x
    x = 13,529,357.62/4,803.60
  6. Step 6: Final answer
    x = 2,816.50

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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.