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Finding the Fourth Proportional to 3,406.52, 4,702.75 and 2,356.76

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Solution

The fourth proportional to 3,406.52, 4,702.75 and 2,356.76 is: 3,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.52 : 4,702.75 = 2,356.76 : x
  2. Step 2: Convert to fraction form
    3,406.52/4,702.75 = 2,356.76/x
  3. Step 3: Cross multiply
    3,406.52x = 4,702.75 × 2,356.76
  4. Step 4: Simplify right side
    3,406.52x = 11,083,253.09
  5. Step 5: Solve for x
    x = 11,083,253.09/3,406.52
  6. Step 6: Final answer
    x = 3,253.54

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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.