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Finding the Fourth Proportional to 5,931.65, 8,185.68 and 3,574.25

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Solution

The fourth proportional to 5,931.65, 8,185.68 and 3,574.25 is: 4,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.65 : 8,185.68 = 3,574.25 : x
  2. Step 2: Convert to fraction form
    5,931.65/8,185.68 = 3,574.25/x
  3. Step 3: Cross multiply
    5,931.65x = 8,185.68 × 3,574.25
  4. Step 4: Simplify right side
    5,931.65x = 29,257,666.74
  5. Step 5: Solve for x
    x = 29,257,666.74/5,931.65
  6. Step 6: Final answer
    x = 4,932.47

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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.