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Finding the Fourth Proportional to 3,485.76, 4,809.62 and 2,069.24

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Solution

The fourth proportional to 3,485.76, 4,809.62 and 2,069.24 is: 2,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.76 : 4,809.62 = 2,069.24 : x
  2. Step 2: Convert to fraction form
    3,485.76/4,809.62 = 2,069.24/x
  3. Step 3: Cross multiply
    3,485.76x = 4,809.62 × 2,069.24
  4. Step 4: Simplify right side
    3,485.76x = 9,952,259.77
  5. Step 5: Solve for x
    x = 9,952,259.77/3,485.76
  6. Step 6: Final answer
    x = 2,855.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.