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Finding the Fourth Proportional to 5,089.34, 7,019.34 and 3,410.21

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Solution

The fourth proportional to 5,089.34, 7,019.34 and 3,410.21 is: 4,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.34 : 7,019.34 = 3,410.21 : x
  2. Step 2: Convert to fraction form
    5,089.34/7,019.34 = 3,410.21/x
  3. Step 3: Cross multiply
    5,089.34x = 7,019.34 × 3,410.21
  4. Step 4: Simplify right side
    5,089.34x = 23,937,423.46
  5. Step 5: Solve for x
    x = 23,937,423.46/5,089.34
  6. Step 6: Final answer
    x = 4,703.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.