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Finding the Fourth Proportional to 3,533.91, 5,300.87 and 1,973.66

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Solution

The fourth proportional to 3,533.91, 5,300.87 and 1,973.66 is: 2,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.91 : 5,300.87 = 1,973.66 : x
  2. Step 2: Convert to fraction form
    3,533.91/5,300.87 = 1,973.66/x
  3. Step 3: Cross multiply
    3,533.91x = 5,300.87 × 1,973.66
  4. Step 4: Simplify right side
    3,533.91x = 10,462,078.71
  5. Step 5: Solve for x
    x = 10,462,078.71/3,533.91
  6. Step 6: Final answer
    x = 2,960.48

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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.