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Finding the Fourth Proportional to 3,659.65, 5,485.54 and 1,580.63

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Solution

The fourth proportional to 3,659.65, 5,485.54 and 1,580.63 is: 2,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.65 : 5,485.54 = 1,580.63 : x
  2. Step 2: Convert to fraction form
    3,659.65/5,485.54 = 1,580.63/x
  3. Step 3: Cross multiply
    3,659.65x = 5,485.54 × 1,580.63
  4. Step 4: Simplify right side
    3,659.65x = 8,670,618.85
  5. Step 5: Solve for x
    x = 8,670,618.85/3,659.65
  6. Step 6: Final answer
    x = 2,369.25

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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.