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Finding the Fourth Proportional to 4,652.52, 6,423.35 and 2,974.61

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Solution

The fourth proportional to 4,652.52, 6,423.35 and 2,974.61 is: 4,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.52 : 6,423.35 = 2,974.61 : x
  2. Step 2: Convert to fraction form
    4,652.52/6,423.35 = 2,974.61/x
  3. Step 3: Cross multiply
    4,652.52x = 6,423.35 × 2,974.61
  4. Step 4: Simplify right side
    4,652.52x = 19,106,961.14
  5. Step 5: Solve for x
    x = 19,106,961.14/4,652.52
  6. Step 6: Final answer
    x = 4,106.80

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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.