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Finding the Fourth Proportional to 4,085.64, 5,624.64 and 3,533.22

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Solution

The fourth proportional to 4,085.64, 5,624.64 and 3,533.22 is: 4,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.64 : 5,624.64 = 3,533.22 : x
  2. Step 2: Convert to fraction form
    4,085.64/5,624.64 = 3,533.22/x
  3. Step 3: Cross multiply
    4,085.64x = 5,624.64 × 3,533.22
  4. Step 4: Simplify right side
    4,085.64x = 19,873,090.54
  5. Step 5: Solve for x
    x = 19,873,090.54/4,085.64
  6. Step 6: Final answer
    x = 4,864.13

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