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Finding the Fourth Proportional to 3,534.94, 5,294.71 and 3,225.52

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Solution

The fourth proportional to 3,534.94, 5,294.71 and 3,225.52 is: 4,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.94 : 5,294.71 = 3,225.52 : x
  2. Step 2: Convert to fraction form
    3,534.94/5,294.71 = 3,225.52/x
  3. Step 3: Cross multiply
    3,534.94x = 5,294.71 × 3,225.52
  4. Step 4: Simplify right side
    3,534.94x = 17,078,150.40
  5. Step 5: Solve for x
    x = 17,078,150.40/3,534.94
  6. Step 6: Final answer
    x = 4,831.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.