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Finding the Fourth Proportional to 5,164.90, 7,130.52 and 3,401.64

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Solution

The fourth proportional to 5,164.90, 7,130.52 and 3,401.64 is: 4,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.90 : 7,130.52 = 3,401.64 : x
  2. Step 2: Convert to fraction form
    5,164.90/7,130.52 = 3,401.64/x
  3. Step 3: Cross multiply
    5,164.90x = 7,130.52 × 3,401.64
  4. Step 4: Simplify right side
    5,164.90x = 24,255,462.05
  5. Step 5: Solve for x
    x = 24,255,462.05/5,164.90
  6. Step 6: Final answer
    x = 4,696.21

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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.