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Finding the Fourth Proportional to 5,785.15, 8,681.18 and 5,314.60

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Solution

The fourth proportional to 5,785.15, 8,681.18 and 5,314.60 is: 7,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.15 : 8,681.18 = 5,314.60 : x
  2. Step 2: Convert to fraction form
    5,785.15/8,681.18 = 5,314.60/x
  3. Step 3: Cross multiply
    5,785.15x = 8,681.18 × 5,314.60
  4. Step 4: Simplify right side
    5,785.15x = 46,136,999.23
  5. Step 5: Solve for x
    x = 46,136,999.23/5,785.15
  6. Step 6: Final answer
    x = 7,975.07

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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.