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Finding the Fourth Proportional to 5,006.88, 7,511.36 and 1,886.85

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Solution

The fourth proportional to 5,006.88, 7,511.36 and 1,886.85 is: 2,830.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.88 : 7,511.36 = 1,886.85 : x
  2. Step 2: Convert to fraction form
    5,006.88/7,511.36 = 1,886.85/x
  3. Step 3: Cross multiply
    5,006.88x = 7,511.36 × 1,886.85
  4. Step 4: Simplify right side
    5,006.88x = 14,172,800.18
  5. Step 5: Solve for x
    x = 14,172,800.18/5,006.88
  6. Step 6: Final answer
    x = 2,830.67

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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.