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Finding the Fourth Proportional to 3,597.44, 4,972.92 and 3,564.32

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Solution

The fourth proportional to 3,597.44, 4,972.92 and 3,564.32 is: 4,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.44 : 4,972.92 = 3,564.32 : x
  2. Step 2: Convert to fraction form
    3,597.44/4,972.92 = 3,564.32/x
  3. Step 3: Cross multiply
    3,597.44x = 4,972.92 × 3,564.32
  4. Step 4: Simplify right side
    3,597.44x = 17,725,078.21
  5. Step 5: Solve for x
    x = 17,725,078.21/3,597.44
  6. Step 6: Final answer
    x = 4,927.14

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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.