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Finding the Fourth Proportional to 3,263.48, 4,885.50 and 3,146.84

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Solution

The fourth proportional to 3,263.48, 4,885.50 and 3,146.84 is: 4,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.48 : 4,885.50 = 3,146.84 : x
  2. Step 2: Convert to fraction form
    3,263.48/4,885.50 = 3,146.84/x
  3. Step 3: Cross multiply
    3,263.48x = 4,885.50 × 3,146.84
  4. Step 4: Simplify right side
    3,263.48x = 15,373,886.82
  5. Step 5: Solve for x
    x = 15,373,886.82/3,263.48
  6. Step 6: Final answer
    x = 4,710.89

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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.