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Finding the Fourth Proportional to 4,666, 7,001.43 and 2,357.50

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Solution

The fourth proportional to 4,666, 7,001.43 and 2,357.50 is: 3,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666 : 7,001.43 = 2,357.50 : x
  2. Step 2: Convert to fraction form
    4,666/7,001.43 = 2,357.50/x
  3. Step 3: Cross multiply
    4,666x = 7,001.43 × 2,357.50
  4. Step 4: Simplify right side
    4,666x = 16,505,871.23
  5. Step 5: Solve for x
    x = 16,505,871.23/4,666
  6. Step 6: Final answer
    x = 3,537.48

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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.