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Finding the Fourth Proportional to 5,699.48, 8,549.32 and 3,069.14

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Solution

The fourth proportional to 5,699.48, 8,549.32 and 3,069.14 is: 4,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.48 : 8,549.32 = 3,069.14 : x
  2. Step 2: Convert to fraction form
    5,699.48/8,549.32 = 3,069.14/x
  3. Step 3: Cross multiply
    5,699.48x = 8,549.32 × 3,069.14
  4. Step 4: Simplify right side
    5,699.48x = 26,239,030.94
  5. Step 5: Solve for x
    x = 26,239,030.94/5,699.48
  6. Step 6: Final answer
    x = 4,603.76

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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.