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Finding the Fourth Proportional to 4,323.06, 5,959.74 and 3,657.24

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Solution

The fourth proportional to 4,323.06, 5,959.74 and 3,657.24 is: 5,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.06 : 5,959.74 = 3,657.24 : x
  2. Step 2: Convert to fraction form
    4,323.06/5,959.74 = 3,657.24/x
  3. Step 3: Cross multiply
    4,323.06x = 5,959.74 × 3,657.24
  4. Step 4: Simplify right side
    4,323.06x = 21,796,199.52
  5. Step 5: Solve for x
    x = 21,796,199.52/4,323.06
  6. Step 6: Final answer
    x = 5,041.85

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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.