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Finding the Fourth Proportional to 5,261.58, 7,889.58 and 3,070.98

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Solution

The fourth proportional to 5,261.58, 7,889.58 and 3,070.98 is: 4,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.58 : 7,889.58 = 3,070.98 : x
  2. Step 2: Convert to fraction form
    5,261.58/7,889.58 = 3,070.98/x
  3. Step 3: Cross multiply
    5,261.58x = 7,889.58 × 3,070.98
  4. Step 4: Simplify right side
    5,261.58x = 24,228,742.39
  5. Step 5: Solve for x
    x = 24,228,742.39/5,261.58
  6. Step 6: Final answer
    x = 4,604.84

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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.