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Finding the Fourth Proportional to 4,712.95, 6,503.57 and 2,723.18

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Solution

The fourth proportional to 4,712.95, 6,503.57 and 2,723.18 is: 3,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.95 : 6,503.57 = 2,723.18 : x
  2. Step 2: Convert to fraction form
    4,712.95/6,503.57 = 2,723.18/x
  3. Step 3: Cross multiply
    4,712.95x = 6,503.57 × 2,723.18
  4. Step 4: Simplify right side
    4,712.95x = 17,710,391.75
  5. Step 5: Solve for x
    x = 17,710,391.75/4,712.95
  6. Step 6: Final answer
    x = 3,757.82

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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.