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Finding the Fourth Proportional to 4,713.62, 7,070.36 and 1,592.96

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Solution

The fourth proportional to 4,713.62, 7,070.36 and 1,592.96 is: 2,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.62 : 7,070.36 = 1,592.96 : x
  2. Step 2: Convert to fraction form
    4,713.62/7,070.36 = 1,592.96/x
  3. Step 3: Cross multiply
    4,713.62x = 7,070.36 × 1,592.96
  4. Step 4: Simplify right side
    4,713.62x = 11,262,757.35
  5. Step 5: Solve for x
    x = 11,262,757.35/4,713.62
  6. Step 6: Final answer
    x = 2,389.41

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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.