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Finding the Fourth Proportional to 4,548.50, 6,770.67 and 4,336.10

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Solution

The fourth proportional to 4,548.50, 6,770.67 and 4,336.10 is: 6,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.50 : 6,770.67 = 4,336.10 : x
  2. Step 2: Convert to fraction form
    4,548.50/6,770.67 = 4,336.10/x
  3. Step 3: Cross multiply
    4,548.50x = 6,770.67 × 4,336.10
  4. Step 4: Simplify right side
    4,548.50x = 29,358,280.51
  5. Step 5: Solve for x
    x = 29,358,280.51/4,548.50
  6. Step 6: Final answer
    x = 6,454.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.