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Finding the Fourth Proportional to 4,712.40, 6,503.08 and 2,616.56

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Solution

The fourth proportional to 4,712.40, 6,503.08 and 2,616.56 is: 3,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.40 : 6,503.08 = 2,616.56 : x
  2. Step 2: Convert to fraction form
    4,712.40/6,503.08 = 2,616.56/x
  3. Step 3: Cross multiply
    4,712.40x = 6,503.08 × 2,616.56
  4. Step 4: Simplify right side
    4,712.40x = 17,015,699.00
  5. Step 5: Solve for x
    x = 17,015,699.00/4,712.40
  6. Step 6: Final answer
    x = 3,610.84

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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.