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Finding the Fourth Proportional to 3,800.04, 5,700.01 and 1,202.98

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Solution

The fourth proportional to 3,800.04, 5,700.01 and 1,202.98 is: 1,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.04 : 5,700.01 = 1,202.98 : x
  2. Step 2: Convert to fraction form
    3,800.04/5,700.01 = 1,202.98/x
  3. Step 3: Cross multiply
    3,800.04x = 5,700.01 × 1,202.98
  4. Step 4: Simplify right side
    3,800.04x = 6,856,980.77
  5. Step 5: Solve for x
    x = 6,856,980.77/3,800.04
  6. Step 6: Final answer
    x = 1,804.45

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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.