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Finding the Fourth Proportional to 4,543.68, 6,814.44 and 1,256.07

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Solution

The fourth proportional to 4,543.68, 6,814.44 and 1,256.07 is: 1,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.68 : 6,814.44 = 1,256.07 : x
  2. Step 2: Convert to fraction form
    4,543.68/6,814.44 = 1,256.07/x
  3. Step 3: Cross multiply
    4,543.68x = 6,814.44 × 1,256.07
  4. Step 4: Simplify right side
    4,543.68x = 8,559,413.65
  5. Step 5: Solve for x
    x = 8,559,413.65/4,543.68
  6. Step 6: Final answer
    x = 1,883.81

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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.