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Finding the Fourth Proportional to 3,134.90, 4,702.35 and 3,113.30

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Solution

The fourth proportional to 3,134.90, 4,702.35 and 3,113.30 is: 4,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.90 : 4,702.35 = 3,113.30 : x
  2. Step 2: Convert to fraction form
    3,134.90/4,702.35 = 3,113.30/x
  3. Step 3: Cross multiply
    3,134.90x = 4,702.35 × 3,113.30
  4. Step 4: Simplify right side
    3,134.90x = 14,639,826.26
  5. Step 5: Solve for x
    x = 14,639,826.26/3,134.90
  6. Step 6: Final answer
    x = 4,669.95

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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.