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Finding the Fourth Proportional to 4,338.65, 6,506.43 and 1,564.58

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Solution

The fourth proportional to 4,338.65, 6,506.43 and 1,564.58 is: 2,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.65 : 6,506.43 = 1,564.58 : x
  2. Step 2: Convert to fraction form
    4,338.65/6,506.43 = 1,564.58/x
  3. Step 3: Cross multiply
    4,338.65x = 6,506.43 × 1,564.58
  4. Step 4: Simplify right side
    4,338.65x = 10,179,797.72
  5. Step 5: Solve for x
    x = 10,179,797.72/4,338.65
  6. Step 6: Final answer
    x = 2,346.31

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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.