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Finding the Fourth Proportional to 4,303.58, 5,947.10 and 3,665.42

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Solution

The fourth proportional to 4,303.58, 5,947.10 and 3,665.42 is: 5,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.58 : 5,947.10 = 3,665.42 : x
  2. Step 2: Convert to fraction form
    4,303.58/5,947.10 = 3,665.42/x
  3. Step 3: Cross multiply
    4,303.58x = 5,947.10 × 3,665.42
  4. Step 4: Simplify right side
    4,303.58x = 21,798,607.27
  5. Step 5: Solve for x
    x = 21,798,607.27/4,303.58
  6. Step 6: Final answer
    x = 5,065.23

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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.