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Finding the Fourth Proportional to 4,712.76, 7,069.23 and 1,592.19

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Solution

The fourth proportional to 4,712.76, 7,069.23 and 1,592.19 is: 2,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.76 : 7,069.23 = 1,592.19 : x
  2. Step 2: Convert to fraction form
    4,712.76/7,069.23 = 1,592.19/x
  3. Step 3: Cross multiply
    4,712.76x = 7,069.23 × 1,592.19
  4. Step 4: Simplify right side
    4,712.76x = 11,255,557.31
  5. Step 5: Solve for x
    x = 11,255,557.31/4,712.76
  6. Step 6: Final answer
    x = 2,388.32

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