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Finding the Fourth Proportional to 4,573.56, 6,322.14 and 4,081.08

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Solution

The fourth proportional to 4,573.56, 6,322.14 and 4,081.08 is: 5,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.56 : 6,322.14 = 4,081.08 : x
  2. Step 2: Convert to fraction form
    4,573.56/6,322.14 = 4,081.08/x
  3. Step 3: Cross multiply
    4,573.56x = 6,322.14 × 4,081.08
  4. Step 4: Simplify right side
    4,573.56x = 25,801,159.11
  5. Step 5: Solve for x
    x = 25,801,159.11/4,573.56
  6. Step 6: Final answer
    x = 5,641.37

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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.