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Finding the Fourth Proportional to 5,122.95, 7,684.64 and 2,656.19

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Solution

The fourth proportional to 5,122.95, 7,684.64 and 2,656.19 is: 3,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.95 : 7,684.64 = 2,656.19 : x
  2. Step 2: Convert to fraction form
    5,122.95/7,684.64 = 2,656.19/x
  3. Step 3: Cross multiply
    5,122.95x = 7,684.64 × 2,656.19
  4. Step 4: Simplify right side
    5,122.95x = 20,411,879.81
  5. Step 5: Solve for x
    x = 20,411,879.81/5,122.95
  6. Step 6: Final answer
    x = 3,984.40

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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.