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Finding the Fourth Proportional to 3,433.64, 5,146.14 and 1,702.76

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Solution

The fourth proportional to 3,433.64, 5,146.14 and 1,702.76 is: 2,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.64 : 5,146.14 = 1,702.76 : x
  2. Step 2: Convert to fraction form
    3,433.64/5,146.14 = 1,702.76/x
  3. Step 3: Cross multiply
    3,433.64x = 5,146.14 × 1,702.76
  4. Step 4: Simplify right side
    3,433.64x = 8,762,641.35
  5. Step 5: Solve for x
    x = 8,762,641.35/3,433.64
  6. Step 6: Final answer
    x = 2,552.00

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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.