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Finding the Fourth Proportional to 5,070.94, 7,594.06 and 2,873

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Solution

The fourth proportional to 5,070.94, 7,594.06 and 2,873 is: 4,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.94 : 7,594.06 = 2,873 : x
  2. Step 2: Convert to fraction form
    5,070.94/7,594.06 = 2,873/x
  3. Step 3: Cross multiply
    5,070.94x = 7,594.06 × 2,873
  4. Step 4: Simplify right side
    5,070.94x = 21,817,734.38
  5. Step 5: Solve for x
    x = 21,817,734.38/5,070.94
  6. Step 6: Final answer
    x = 4,302.50

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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.