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Finding the Fourth Proportional to 5,394.13, 7,443.03 and 3,405.76

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Solution

The fourth proportional to 5,394.13, 7,443.03 and 3,405.76 is: 4,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.13 : 7,443.03 = 3,405.76 : x
  2. Step 2: Convert to fraction form
    5,394.13/7,443.03 = 3,405.76/x
  3. Step 3: Cross multiply
    5,394.13x = 7,443.03 × 3,405.76
  4. Step 4: Simplify right side
    5,394.13x = 25,349,173.85
  5. Step 5: Solve for x
    x = 25,349,173.85/5,394.13
  6. Step 6: Final answer
    x = 4,699.40

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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.