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Finding the Fourth Proportional to 5,346.03, 7,370.76 and 3,454.41

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Solution

The fourth proportional to 5,346.03, 7,370.76 and 3,454.41 is: 4,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.03 : 7,370.76 = 3,454.41 : x
  2. Step 2: Convert to fraction form
    5,346.03/7,370.76 = 3,454.41/x
  3. Step 3: Cross multiply
    5,346.03x = 7,370.76 × 3,454.41
  4. Step 4: Simplify right side
    5,346.03x = 25,461,627.05
  5. Step 5: Solve for x
    x = 25,461,627.05/5,346.03
  6. Step 6: Final answer
    x = 4,762.72

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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.