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Finding the Fourth Proportional to 3,809.80, 5,275.02 and 3,615.40

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Solution

The fourth proportional to 3,809.80, 5,275.02 and 3,615.40 is: 5,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.80 : 5,275.02 = 3,615.40 : x
  2. Step 2: Convert to fraction form
    3,809.80/5,275.02 = 3,615.40/x
  3. Step 3: Cross multiply
    3,809.80x = 5,275.02 × 3,615.40
  4. Step 4: Simplify right side
    3,809.80x = 19,071,307.31
  5. Step 5: Solve for x
    x = 19,071,307.31/3,809.80
  6. Step 6: Final answer
    x = 5,005.86

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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.