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Finding the Fourth Proportional to 6,853.95, 9,458.39 and 3,870.36

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Solution

The fourth proportional to 6,853.95, 9,458.39 and 3,870.36 is: 5,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.95 : 9,458.39 = 3,870.36 : x
  2. Step 2: Convert to fraction form
    6,853.95/9,458.39 = 3,870.36/x
  3. Step 3: Cross multiply
    6,853.95x = 9,458.39 × 3,870.36
  4. Step 4: Simplify right side
    6,853.95x = 36,607,384.00
  5. Step 5: Solve for x
    x = 36,607,384.00/6,853.95
  6. Step 6: Final answer
    x = 5,341.06

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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.