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Finding the Fourth Proportional to 4,303.80, 6,455.70 and 4,012.20

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Solution

The fourth proportional to 4,303.80, 6,455.70 and 4,012.20 is: 6,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.80 : 6,455.70 = 4,012.20 : x
  2. Step 2: Convert to fraction form
    4,303.80/6,455.70 = 4,012.20/x
  3. Step 3: Cross multiply
    4,303.80x = 6,455.70 × 4,012.20
  4. Step 4: Simplify right side
    4,303.80x = 25,901,559.54
  5. Step 5: Solve for x
    x = 25,901,559.54/4,303.80
  6. Step 6: Final answer
    x = 6,018.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.