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Finding the Fourth Proportional to 5,000.19, 7,492.06 and 1,711.49

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Solution

The fourth proportional to 5,000.19, 7,492.06 and 1,711.49 is: 2,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.19 : 7,492.06 = 1,711.49 : x
  2. Step 2: Convert to fraction form
    5,000.19/7,492.06 = 1,711.49/x
  3. Step 3: Cross multiply
    5,000.19x = 7,492.06 × 1,711.49
  4. Step 4: Simplify right side
    5,000.19x = 12,822,550.45
  5. Step 5: Solve for x
    x = 12,822,550.45/5,000.19
  6. Step 6: Final answer
    x = 2,564.41

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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.