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Finding the Fourth Proportional to 5,925.14, 8,172.86 and 3,565

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Solution

The fourth proportional to 5,925.14, 8,172.86 and 3,565 is: 4,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.14 : 8,172.86 = 3,565 : x
  2. Step 2: Convert to fraction form
    5,925.14/8,172.86 = 3,565/x
  3. Step 3: Cross multiply
    5,925.14x = 8,172.86 × 3,565
  4. Step 4: Simplify right side
    5,925.14x = 29,136,245.90
  5. Step 5: Solve for x
    x = 29,136,245.90/5,925.14
  6. Step 6: Final answer
    x = 4,917.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.