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Finding the Fourth Proportional to 3,597.13, 5,364.14 and 3,564.28

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Solution

The fourth proportional to 3,597.13, 5,364.14 and 3,564.28 is: 5,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.13 : 5,364.14 = 3,564.28 : x
  2. Step 2: Convert to fraction form
    3,597.13/5,364.14 = 3,564.28/x
  3. Step 3: Cross multiply
    3,597.13x = 5,364.14 × 3,564.28
  4. Step 4: Simplify right side
    3,597.13x = 19,119,296.92
  5. Step 5: Solve for x
    x = 19,119,296.92/3,597.13
  6. Step 6: Final answer
    x = 5,315.15

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