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Finding the Fourth Proportional to 4,712.16, 6,503.04 and 2,616.24

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Solution

The fourth proportional to 4,712.16, 6,503.04 and 2,616.24 is: 3,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.16 : 6,503.04 = 2,616.24 : x
  2. Step 2: Convert to fraction form
    4,712.16/6,503.04 = 2,616.24/x
  3. Step 3: Cross multiply
    4,712.16x = 6,503.04 × 2,616.24
  4. Step 4: Simplify right side
    4,712.16x = 17,013,513.37
  5. Step 5: Solve for x
    x = 17,013,513.37/4,712.16
  6. Step 6: Final answer
    x = 3,610.56

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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.