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Finding the Fourth Proportional to 4,572.61, 6,853.74 and 2,102.33

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Solution

The fourth proportional to 4,572.61, 6,853.74 and 2,102.33 is: 3,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.61 : 6,853.74 = 2,102.33 : x
  2. Step 2: Convert to fraction form
    4,572.61/6,853.74 = 2,102.33/x
  3. Step 3: Cross multiply
    4,572.61x = 6,853.74 × 2,102.33
  4. Step 4: Simplify right side
    4,572.61x = 14,408,823.21
  5. Step 5: Solve for x
    x = 14,408,823.21/4,572.61
  6. Step 6: Final answer
    x = 3,151.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.