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Finding the Fourth Proportional to 4,188.91, 5,780.88 and 2,509.99

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Solution

The fourth proportional to 4,188.91, 5,780.88 and 2,509.99 is: 3,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.91 : 5,780.88 = 2,509.99 : x
  2. Step 2: Convert to fraction form
    4,188.91/5,780.88 = 2,509.99/x
  3. Step 3: Cross multiply
    4,188.91x = 5,780.88 × 2,509.99
  4. Step 4: Simplify right side
    4,188.91x = 14,509,950.99
  5. Step 5: Solve for x
    x = 14,509,950.99/4,188.91
  6. Step 6: Final answer
    x = 3,463.90

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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.