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Finding the Fourth Proportional to 3,583.68, 5,341.26 and 3,578.22

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Solution

The fourth proportional to 3,583.68, 5,341.26 and 3,578.22 is: 5,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.68 : 5,341.26 = 3,578.22 : x
  2. Step 2: Convert to fraction form
    3,583.68/5,341.26 = 3,578.22/x
  3. Step 3: Cross multiply
    3,583.68x = 5,341.26 × 3,578.22
  4. Step 4: Simplify right side
    3,583.68x = 19,112,203.36
  5. Step 5: Solve for x
    x = 19,112,203.36/3,583.68
  6. Step 6: Final answer
    x = 5,333.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.