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Finding the Fourth Proportional to 4,847.85, 7,267.14 and 1,558.63

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Solution

The fourth proportional to 4,847.85, 7,267.14 and 1,558.63 is: 2,336.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.85 : 7,267.14 = 1,558.63 : x
  2. Step 2: Convert to fraction form
    4,847.85/7,267.14 = 1,558.63/x
  3. Step 3: Cross multiply
    4,847.85x = 7,267.14 × 1,558.63
  4. Step 4: Simplify right side
    4,847.85x = 11,326,738.29
  5. Step 5: Solve for x
    x = 11,326,738.29/4,847.85
  6. Step 6: Final answer
    x = 2,336.45

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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.