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Finding the Fourth Proportional to 5,643.76, 7,788.42 and 3,125.95

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Solution

The fourth proportional to 5,643.76, 7,788.42 and 3,125.95 is: 4,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.76 : 7,788.42 = 3,125.95 : x
  2. Step 2: Convert to fraction form
    5,643.76/7,788.42 = 3,125.95/x
  3. Step 3: Cross multiply
    5,643.76x = 7,788.42 × 3,125.95
  4. Step 4: Simplify right side
    5,643.76x = 24,346,211.50
  5. Step 5: Solve for x
    x = 24,346,211.50/5,643.76
  6. Step 6: Final answer
    x = 4,313.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.