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Finding the Fourth Proportional to 5,410.72, 7,466.34 and 3,421.90

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Solution

The fourth proportional to 5,410.72, 7,466.34 and 3,421.90 is: 4,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.72 : 7,466.34 = 3,421.90 : x
  2. Step 2: Convert to fraction form
    5,410.72/7,466.34 = 3,421.90/x
  3. Step 3: Cross multiply
    5,410.72x = 7,466.34 × 3,421.90
  4. Step 4: Simplify right side
    5,410.72x = 25,549,068.85
  5. Step 5: Solve for x
    x = 25,549,068.85/5,410.72
  6. Step 6: Final answer
    x = 4,721.94

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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.