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Finding the Fourth Proportional to 4,009.57, 6,014.68 and 1,048.41

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Solution

The fourth proportional to 4,009.57, 6,014.68 and 1,048.41 is: 1,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.57 : 6,014.68 = 1,048.41 : x
  2. Step 2: Convert to fraction form
    4,009.57/6,014.68 = 1,048.41/x
  3. Step 3: Cross multiply
    4,009.57x = 6,014.68 × 1,048.41
  4. Step 4: Simplify right side
    4,009.57x = 6,305,848.04
  5. Step 5: Solve for x
    x = 6,305,848.04/4,009.57
  6. Step 6: Final answer
    x = 1,572.70

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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.