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Finding the Fourth Proportional to 5,301.90, 7,309.98 and 3,410.14

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Solution

The fourth proportional to 5,301.90, 7,309.98 and 3,410.14 is: 4,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.90 : 7,309.98 = 3,410.14 : x
  2. Step 2: Convert to fraction form
    5,301.90/7,309.98 = 3,410.14/x
  3. Step 3: Cross multiply
    5,301.90x = 7,309.98 × 3,410.14
  4. Step 4: Simplify right side
    5,301.90x = 24,928,055.20
  5. Step 5: Solve for x
    x = 24,928,055.20/5,301.90
  6. Step 6: Final answer
    x = 4,701.72

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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.