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Finding the Fourth Proportional to 4,188.85, 5,780.78 and 2,509.94

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Solution

The fourth proportional to 4,188.85, 5,780.78 and 2,509.94 is: 3,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.85 : 5,780.78 = 2,509.94 : x
  2. Step 2: Convert to fraction form
    4,188.85/5,780.78 = 2,509.94/x
  3. Step 3: Cross multiply
    4,188.85x = 5,780.78 × 2,509.94
  4. Step 4: Simplify right side
    4,188.85x = 14,509,403.87
  5. Step 5: Solve for x
    x = 14,509,403.87/4,188.85
  6. Step 6: Final answer
    x = 3,463.82

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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.