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Finding the Fourth Proportional to 5,346.99, 7,378.77 and 3,110.16

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Solution

The fourth proportional to 5,346.99, 7,378.77 and 3,110.16 is: 4,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.99 : 7,378.77 = 3,110.16 : x
  2. Step 2: Convert to fraction form
    5,346.99/7,378.77 = 3,110.16/x
  3. Step 3: Cross multiply
    5,346.99x = 7,378.77 × 3,110.16
  4. Step 4: Simplify right side
    5,346.99x = 22,949,155.30
  5. Step 5: Solve for x
    x = 22,949,155.30/5,346.99
  6. Step 6: Final answer
    x = 4,291.98

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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.