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Finding the Fourth Proportional to 7,021.58, 9,689.70 and 3,877.70

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Solution

The fourth proportional to 7,021.58, 9,689.70 and 3,877.70 is: 5,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.58 : 9,689.70 = 3,877.70 : x
  2. Step 2: Convert to fraction form
    7,021.58/9,689.70 = 3,877.70/x
  3. Step 3: Cross multiply
    7,021.58x = 9,689.70 × 3,877.70
  4. Step 4: Simplify right side
    7,021.58x = 37,573,701.24
  5. Step 5: Solve for x
    x = 37,573,701.24/7,021.58
  6. Step 6: Final answer
    x = 5,351.18

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