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Finding the Fourth Proportional to 5,257.59, 7,885.02 and 1,558.83

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Solution

The fourth proportional to 5,257.59, 7,885.02 and 1,558.83 is: 2,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.59 : 7,885.02 = 1,558.83 : x
  2. Step 2: Convert to fraction form
    5,257.59/7,885.02 = 1,558.83/x
  3. Step 3: Cross multiply
    5,257.59x = 7,885.02 × 1,558.83
  4. Step 4: Simplify right side
    5,257.59x = 12,291,405.73
  5. Step 5: Solve for x
    x = 12,291,405.73/5,257.59
  6. Step 6: Final answer
    x = 2,337.84

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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.