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Finding the Fourth Proportional to 5,651.90, 8,477.76 and 1,756.31

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Solution

The fourth proportional to 5,651.90, 8,477.76 and 1,756.31 is: 2,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.90 : 8,477.76 = 1,756.31 : x
  2. Step 2: Convert to fraction form
    5,651.90/8,477.76 = 1,756.31/x
  3. Step 3: Cross multiply
    5,651.90x = 8,477.76 × 1,756.31
  4. Step 4: Simplify right side
    5,651.90x = 14,889,574.67
  5. Step 5: Solve for x
    x = 14,889,574.67/5,651.90
  6. Step 6: Final answer
    x = 2,634.44

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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.