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Finding the Fourth Proportional to 5,325.99, 7,347.69 and 3,534.31

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Solution

The fourth proportional to 5,325.99, 7,347.69 and 3,534.31 is: 4,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.99 : 7,347.69 = 3,534.31 : x
  2. Step 2: Convert to fraction form
    5,325.99/7,347.69 = 3,534.31/x
  3. Step 3: Cross multiply
    5,325.99x = 7,347.69 × 3,534.31
  4. Step 4: Simplify right side
    5,325.99x = 25,969,014.24
  5. Step 5: Solve for x
    x = 25,969,014.24/5,325.99
  6. Step 6: Final answer
    x = 4,875.90

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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.