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Finding the Fourth Proportional to 4,702.92, 7,054.38 and 1,929.06

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Solution

The fourth proportional to 4,702.92, 7,054.38 and 1,929.06 is: 2,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.92 : 7,054.38 = 1,929.06 : x
  2. Step 2: Convert to fraction form
    4,702.92/7,054.38 = 1,929.06/x
  3. Step 3: Cross multiply
    4,702.92x = 7,054.38 × 1,929.06
  4. Step 4: Simplify right side
    4,702.92x = 13,608,322.28
  5. Step 5: Solve for x
    x = 13,608,322.28/4,702.92
  6. Step 6: Final answer
    x = 2,893.59

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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.