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Finding the Fourth Proportional to 4,702.32, 7,046.05 and 1,736.68

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Solution

The fourth proportional to 4,702.32, 7,046.05 and 1,736.68 is: 2,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.32 : 7,046.05 = 1,736.68 : x
  2. Step 2: Convert to fraction form
    4,702.32/7,046.05 = 1,736.68/x
  3. Step 3: Cross multiply
    4,702.32x = 7,046.05 × 1,736.68
  4. Step 4: Simplify right side
    4,702.32x = 12,236,734.11
  5. Step 5: Solve for x
    x = 12,236,734.11/4,702.32
  6. Step 6: Final answer
    x = 2,602.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.