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Finding the Fourth Proportional to 4,605.06, 6,354.87 and 2,509.14

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Solution

The fourth proportional to 4,605.06, 6,354.87 and 2,509.14 is: 3,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.06 : 6,354.87 = 2,509.14 : x
  2. Step 2: Convert to fraction form
    4,605.06/6,354.87 = 2,509.14/x
  3. Step 3: Cross multiply
    4,605.06x = 6,354.87 × 2,509.14
  4. Step 4: Simplify right side
    4,605.06x = 15,945,258.51
  5. Step 5: Solve for x
    x = 15,945,258.51/4,605.06
  6. Step 6: Final answer
    x = 3,462.55

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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.