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Finding the Fourth Proportional to 5,184.93, 7,772.71 and 1,895.71

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Solution

The fourth proportional to 5,184.93, 7,772.71 and 1,895.71 is: 2,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.93 : 7,772.71 = 1,895.71 : x
  2. Step 2: Convert to fraction form
    5,184.93/7,772.71 = 1,895.71/x
  3. Step 3: Cross multiply
    5,184.93x = 7,772.71 × 1,895.71
  4. Step 4: Simplify right side
    5,184.93x = 14,734,804.07
  5. Step 5: Solve for x
    x = 14,734,804.07/5,184.93
  6. Step 6: Final answer
    x = 2,841.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.