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Finding the Fourth Proportional to 4,647.48, 6,410.16 and 3,154.92

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Solution

The fourth proportional to 4,647.48, 6,410.16 and 3,154.92 is: 4,351.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.48 : 6,410.16 = 3,154.92 : x
  2. Step 2: Convert to fraction form
    4,647.48/6,410.16 = 3,154.92/x
  3. Step 3: Cross multiply
    4,647.48x = 6,410.16 × 3,154.92
  4. Step 4: Simplify right side
    4,647.48x = 20,223,541.99
  5. Step 5: Solve for x
    x = 20,223,541.99/4,647.48
  6. Step 6: Final answer
    x = 4,351.51

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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.