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Finding the Fourth Proportional to 3,460.91, 4,740.21 and 3,258.90

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Solution

The fourth proportional to 3,460.91, 4,740.21 and 3,258.90 is: 4,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.91 : 4,740.21 = 3,258.90 : x
  2. Step 2: Convert to fraction form
    3,460.91/4,740.21 = 3,258.90/x
  3. Step 3: Cross multiply
    3,460.91x = 4,740.21 × 3,258.90
  4. Step 4: Simplify right side
    3,460.91x = 15,447,870.37
  5. Step 5: Solve for x
    x = 15,447,870.37/3,460.91
  6. Step 6: Final answer
    x = 4,463.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.