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Finding the Fourth Proportional to 4,156.84, 5,725.28 and 3,597.32

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Solution

The fourth proportional to 4,156.84, 5,725.28 and 3,597.32 is: 4,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.84 : 5,725.28 = 3,597.32 : x
  2. Step 2: Convert to fraction form
    4,156.84/5,725.28 = 3,597.32/x
  3. Step 3: Cross multiply
    4,156.84x = 5,725.28 × 3,597.32
  4. Step 4: Simplify right side
    4,156.84x = 20,595,646.26
  5. Step 5: Solve for x
    x = 20,595,646.26/4,156.84
  6. Step 6: Final answer
    x = 4,954.65

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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.