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Finding the Fourth Proportional to 5,159.57, 7,739.35 and 1,263.94

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Solution

The fourth proportional to 5,159.57, 7,739.35 and 1,263.94 is: 1,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.57 : 7,739.35 = 1,263.94 : x
  2. Step 2: Convert to fraction form
    5,159.57/7,739.35 = 1,263.94/x
  3. Step 3: Cross multiply
    5,159.57x = 7,739.35 × 1,263.94
  4. Step 4: Simplify right side
    5,159.57x = 9,782,051.53
  5. Step 5: Solve for x
    x = 9,782,051.53/5,159.57
  6. Step 6: Final answer
    x = 1,895.91

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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.