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Finding the Fourth Proportional to 3,825.02, 5,275.80 and 3,256.40

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Solution

The fourth proportional to 3,825.02, 5,275.80 and 3,256.40 is: 4,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.02 : 5,275.80 = 3,256.40 : x
  2. Step 2: Convert to fraction form
    3,825.02/5,275.80 = 3,256.40/x
  3. Step 3: Cross multiply
    3,825.02x = 5,275.80 × 3,256.40
  4. Step 4: Simplify right side
    3,825.02x = 17,180,088.74
  5. Step 5: Solve for x
    x = 17,180,088.74/3,825.02
  6. Step 6: Final answer
    x = 4,491.51

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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.