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Finding the Fourth Proportional to 5,357.40, 8,045.70 and 5,184.60

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Solution

The fourth proportional to 5,357.40, 8,045.70 and 5,184.60 is: 7,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.40 : 8,045.70 = 5,184.60 : x
  2. Step 2: Convert to fraction form
    5,357.40/8,045.70 = 5,184.60/x
  3. Step 3: Cross multiply
    5,357.40x = 8,045.70 × 5,184.60
  4. Step 4: Simplify right side
    5,357.40x = 41,713,736.22
  5. Step 5: Solve for x
    x = 41,713,736.22/5,357.40
  6. Step 6: Final answer
    x = 7,786.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.