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Finding the Fourth Proportional to 5,768.42, 8,651.70 and 1,607.99

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Solution

The fourth proportional to 5,768.42, 8,651.70 and 1,607.99 is: 2,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.42 : 8,651.70 = 1,607.99 : x
  2. Step 2: Convert to fraction form
    5,768.42/8,651.70 = 1,607.99/x
  3. Step 3: Cross multiply
    5,768.42x = 8,651.70 × 1,607.99
  4. Step 4: Simplify right side
    5,768.42x = 13,911,803.82
  5. Step 5: Solve for x
    x = 13,911,803.82/5,768.42
  6. Step 6: Final answer
    x = 2,411.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.