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Finding the Fourth Proportional to 5,213, 7,819.50 and 1,750.34

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Solution

The fourth proportional to 5,213, 7,819.50 and 1,750.34 is: 2,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213 : 7,819.50 = 1,750.34 : x
  2. Step 2: Convert to fraction form
    5,213/7,819.50 = 1,750.34/x
  3. Step 3: Cross multiply
    5,213x = 7,819.50 × 1,750.34
  4. Step 4: Simplify right side
    5,213x = 13,686,783.63
  5. Step 5: Solve for x
    x = 13,686,783.63/5,213
  6. Step 6: Final answer
    x = 2,625.51

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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.