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Finding the Fourth Proportional to 3,100.76, 4,647.88 and 1,558.52

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Solution

The fourth proportional to 3,100.76, 4,647.88 and 1,558.52 is: 2,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.76 : 4,647.88 = 1,558.52 : x
  2. Step 2: Convert to fraction form
    3,100.76/4,647.88 = 1,558.52/x
  3. Step 3: Cross multiply
    3,100.76x = 4,647.88 × 1,558.52
  4. Step 4: Simplify right side
    3,100.76x = 7,243,813.94
  5. Step 5: Solve for x
    x = 7,243,813.94/3,100.76
  6. Step 6: Final answer
    x = 2,336.14

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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.