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Finding the Fourth Proportional to 3,903.26, 5,804.70 and 3,780.24

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Solution

The fourth proportional to 3,903.26, 5,804.70 and 3,780.24 is: 5,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.26 : 5,804.70 = 3,780.24 : x
  2. Step 2: Convert to fraction form
    3,903.26/5,804.70 = 3,780.24/x
  3. Step 3: Cross multiply
    3,903.26x = 5,804.70 × 3,780.24
  4. Step 4: Simplify right side
    3,903.26x = 21,943,159.13
  5. Step 5: Solve for x
    x = 21,943,159.13/3,903.26
  6. Step 6: Final answer
    x = 5,621.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.