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Finding the Fourth Proportional to 3,416.40, 5,114.64 and 2,598

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Solution

The fourth proportional to 3,416.40, 5,114.64 and 2,598 is: 3,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.40 : 5,114.64 = 2,598 : x
  2. Step 2: Convert to fraction form
    3,416.40/5,114.64 = 2,598/x
  3. Step 3: Cross multiply
    3,416.40x = 5,114.64 × 2,598
  4. Step 4: Simplify right side
    3,416.40x = 13,287,834.72
  5. Step 5: Solve for x
    x = 13,287,834.72/3,416.40
  6. Step 6: Final answer
    x = 3,889.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.