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Finding the Fourth Proportional to 4,648.61, 6,414.95 and 2,524.05

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Solution

The fourth proportional to 4,648.61, 6,414.95 and 2,524.05 is: 3,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.61 : 6,414.95 = 2,524.05 : x
  2. Step 2: Convert to fraction form
    4,648.61/6,414.95 = 2,524.05/x
  3. Step 3: Cross multiply
    4,648.61x = 6,414.95 × 2,524.05
  4. Step 4: Simplify right side
    4,648.61x = 16,191,660.86
  5. Step 5: Solve for x
    x = 16,191,660.86/4,648.61
  6. Step 6: Final answer
    x = 3,483.12

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