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Finding the Fourth Proportional to 3,258.36, 4,889.28 and 1,527

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Solution

The fourth proportional to 3,258.36, 4,889.28 and 1,527 is: 2,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.36 : 4,889.28 = 1,527 : x
  2. Step 2: Convert to fraction form
    3,258.36/4,889.28 = 1,527/x
  3. Step 3: Cross multiply
    3,258.36x = 4,889.28 × 1,527
  4. Step 4: Simplify right side
    3,258.36x = 7,465,930.56
  5. Step 5: Solve for x
    x = 7,465,930.56/3,258.36
  6. Step 6: Final answer
    x = 2,291.32

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Why These Related Problems?

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