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Finding the Fourth Proportional to 3,420.64, 5,126.10 and 2,498.32

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Solution

The fourth proportional to 3,420.64, 5,126.10 and 2,498.32 is: 3,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.64 : 5,126.10 = 2,498.32 : x
  2. Step 2: Convert to fraction form
    3,420.64/5,126.10 = 2,498.32/x
  3. Step 3: Cross multiply
    3,420.64x = 5,126.10 × 2,498.32
  4. Step 4: Simplify right side
    3,420.64x = 12,806,638.15
  5. Step 5: Solve for x
    x = 12,806,638.15/3,420.64
  6. Step 6: Final answer
    x = 3,743.93

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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.