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Finding the Fourth Proportional to 4,522.94, 6,784.52 and 1,236.06

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Solution

The fourth proportional to 4,522.94, 6,784.52 and 1,236.06 is: 1,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.94 : 6,784.52 = 1,236.06 : x
  2. Step 2: Convert to fraction form
    4,522.94/6,784.52 = 1,236.06/x
  3. Step 3: Cross multiply
    4,522.94x = 6,784.52 × 1,236.06
  4. Step 4: Simplify right side
    4,522.94x = 8,386,042.17
  5. Step 5: Solve for x
    x = 8,386,042.17/4,522.94
  6. Step 6: Final answer
    x = 1,854.12

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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.