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Finding the Fourth Proportional to 5,006.14, 7,508.03 and 1,886.45

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Solution

The fourth proportional to 5,006.14, 7,508.03 and 1,886.45 is: 2,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.14 : 7,508.03 = 1,886.45 : x
  2. Step 2: Convert to fraction form
    5,006.14/7,508.03 = 1,886.45/x
  3. Step 3: Cross multiply
    5,006.14x = 7,508.03 × 1,886.45
  4. Step 4: Simplify right side
    5,006.14x = 14,163,476.22
  5. Step 5: Solve for x
    x = 14,163,476.22/5,006.14
  6. Step 6: Final answer
    x = 2,829.22

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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.