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Finding the Fourth Proportional to 3,477.98, 5,216.81 and 1,012.74

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Solution

The fourth proportional to 3,477.98, 5,216.81 and 1,012.74 is: 1,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.98 : 5,216.81 = 1,012.74 : x
  2. Step 2: Convert to fraction form
    3,477.98/5,216.81 = 1,012.74/x
  3. Step 3: Cross multiply
    3,477.98x = 5,216.81 × 1,012.74
  4. Step 4: Simplify right side
    3,477.98x = 5,283,267.10
  5. Step 5: Solve for x
    x = 5,283,267.10/3,477.98
  6. Step 6: Final answer
    x = 1,519.06

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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.