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Finding the Fourth Proportional to 5,411.75, 8,117.64 and 1,307.75

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Solution

The fourth proportional to 5,411.75, 8,117.64 and 1,307.75 is: 1,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.75 : 8,117.64 = 1,307.75 : x
  2. Step 2: Convert to fraction form
    5,411.75/8,117.64 = 1,307.75/x
  3. Step 3: Cross multiply
    5,411.75x = 8,117.64 × 1,307.75
  4. Step 4: Simplify right side
    5,411.75x = 10,615,843.71
  5. Step 5: Solve for x
    x = 10,615,843.71/5,411.75
  6. Step 6: Final answer
    x = 1,961.63

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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.