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Finding the Fourth Proportional to 3,485.55, 5,253.95 and 3,284.79

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Solution

The fourth proportional to 3,485.55, 5,253.95 and 3,284.79 is: 4,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.55 : 5,253.95 = 3,284.79 : x
  2. Step 2: Convert to fraction form
    3,485.55/5,253.95 = 3,284.79/x
  3. Step 3: Cross multiply
    3,485.55x = 5,253.95 × 3,284.79
  4. Step 4: Simplify right side
    3,485.55x = 17,258,130.63
  5. Step 5: Solve for x
    x = 17,258,130.63/3,485.55
  6. Step 6: Final answer
    x = 4,951.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.