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Finding the Fourth Proportional to 5,744.16, 8,596.80 and 3,554.40

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Solution

The fourth proportional to 5,744.16, 8,596.80 and 3,554.40 is: 5,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.16 : 8,596.80 = 3,554.40 : x
  2. Step 2: Convert to fraction form
    5,744.16/8,596.80 = 3,554.40/x
  3. Step 3: Cross multiply
    5,744.16x = 8,596.80 × 3,554.40
  4. Step 4: Simplify right side
    5,744.16x = 30,556,465.92
  5. Step 5: Solve for x
    x = 30,556,465.92/5,744.16
  6. Step 6: Final answer
    x = 5,319.57

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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.