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Finding the Fourth Proportional to 7,021.64, 9,689.88 and 3,877.84

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Solution

The fourth proportional to 7,021.64, 9,689.88 and 3,877.84 is: 5,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.64 : 9,689.88 = 3,877.84 : x
  2. Step 2: Convert to fraction form
    7,021.64/9,689.88 = 3,877.84/x
  3. Step 3: Cross multiply
    7,021.64x = 9,689.88 × 3,877.84
  4. Step 4: Simplify right side
    7,021.64x = 37,575,804.26
  5. Step 5: Solve for x
    x = 37,575,804.26/7,021.64
  6. Step 6: Final answer
    x = 5,351.43

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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.