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Finding the Fourth Proportional to 4,654.50, 6,970.35 and 3,006.05

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Solution

The fourth proportional to 4,654.50, 6,970.35 and 3,006.05 is: 4,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.50 : 6,970.35 = 3,006.05 : x
  2. Step 2: Convert to fraction form
    4,654.50/6,970.35 = 3,006.05/x
  3. Step 3: Cross multiply
    4,654.50x = 6,970.35 × 3,006.05
  4. Step 4: Simplify right side
    4,654.50x = 20,953,197.04
  5. Step 5: Solve for x
    x = 20,953,197.04/4,654.50
  6. Step 6: Final answer
    x = 4,501.71

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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.