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Finding the Fourth Proportional to 3,533.77, 5,300.65 and 1,454.90

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Solution

The fourth proportional to 3,533.77, 5,300.65 and 1,454.90 is: 2,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.77 : 5,300.65 = 1,454.90 : x
  2. Step 2: Convert to fraction form
    3,533.77/5,300.65 = 1,454.90/x
  3. Step 3: Cross multiply
    3,533.77x = 5,300.65 × 1,454.90
  4. Step 4: Simplify right side
    3,533.77x = 7,711,920.82
  5. Step 5: Solve for x
    x = 7,711,920.82/3,533.77
  6. Step 6: Final answer
    x = 2,182.35

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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.