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Finding the Fourth Proportional to 3,572.64, 4,923.94 and 3,014.52

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Solution

The fourth proportional to 3,572.64, 4,923.94 and 3,014.52 is: 4,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.64 : 4,923.94 = 3,014.52 : x
  2. Step 2: Convert to fraction form
    3,572.64/4,923.94 = 3,014.52/x
  3. Step 3: Cross multiply
    3,572.64x = 4,923.94 × 3,014.52
  4. Step 4: Simplify right side
    3,572.64x = 14,843,315.61
  5. Step 5: Solve for x
    x = 14,843,315.61/3,572.64
  6. Step 6: Final answer
    x = 4,154.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.