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Finding the Fourth Proportional to 6,854.07, 9,458.53 and 3,870.03

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Solution

The fourth proportional to 6,854.07, 9,458.53 and 3,870.03 is: 5,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.07 : 9,458.53 = 3,870.03 : x
  2. Step 2: Convert to fraction form
    6,854.07/9,458.53 = 3,870.03/x
  3. Step 3: Cross multiply
    6,854.07x = 9,458.53 × 3,870.03
  4. Step 4: Simplify right side
    6,854.07x = 36,604,809.37
  5. Step 5: Solve for x
    x = 36,604,809.37/6,854.07
  6. Step 6: Final answer
    x = 5,340.59

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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.