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Finding the Fourth Proportional to 6,070.94, 8,377.75 and 3,418.32

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Solution

The fourth proportional to 6,070.94, 8,377.75 and 3,418.32 is: 4,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.94 : 8,377.75 = 3,418.32 : x
  2. Step 2: Convert to fraction form
    6,070.94/8,377.75 = 3,418.32/x
  3. Step 3: Cross multiply
    6,070.94x = 8,377.75 × 3,418.32
  4. Step 4: Simplify right side
    6,070.94x = 28,637,830.38
  5. Step 5: Solve for x
    x = 28,637,830.38/6,070.94
  6. Step 6: Final answer
    x = 4,717.20

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Why These Related Problems?

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