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Finding the Fourth Proportional to 5,674.04, 7,828.02 and 4,185.50

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Solution

The fourth proportional to 5,674.04, 7,828.02 and 4,185.50 is: 5,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.04 : 7,828.02 = 4,185.50 : x
  2. Step 2: Convert to fraction form
    5,674.04/7,828.02 = 4,185.50/x
  3. Step 3: Cross multiply
    5,674.04x = 7,828.02 × 4,185.50
  4. Step 4: Simplify right side
    5,674.04x = 32,764,177.71
  5. Step 5: Solve for x
    x = 32,764,177.71/5,674.04
  6. Step 6: Final answer
    x = 5,774.40

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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.