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Finding the Fourth Proportional to 4,693.83, 7,042.31 and 1,575.32

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Solution

The fourth proportional to 4,693.83, 7,042.31 and 1,575.32 is: 2,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.83 : 7,042.31 = 1,575.32 : x
  2. Step 2: Convert to fraction form
    4,693.83/7,042.31 = 1,575.32/x
  3. Step 3: Cross multiply
    4,693.83x = 7,042.31 × 1,575.32
  4. Step 4: Simplify right side
    4,693.83x = 11,093,848.70
  5. Step 5: Solve for x
    x = 11,093,848.70/4,693.83
  6. Step 6: Final answer
    x = 2,363.50

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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.