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Finding the Fourth Proportional to 4,495.61, 6,744 and 1,574.75

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Solution

The fourth proportional to 4,495.61, 6,744 and 1,574.75 is: 2,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.61 : 6,744 = 1,574.75 : x
  2. Step 2: Convert to fraction form
    4,495.61/6,744 = 1,574.75/x
  3. Step 3: Cross multiply
    4,495.61x = 6,744 × 1,574.75
  4. Step 4: Simplify right side
    4,495.61x = 10,620,114
  5. Step 5: Solve for x
    x = 10,620,114/4,495.61
  6. Step 6: Final answer
    x = 2,362.33

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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.