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Finding the Fourth Proportional to 5,716.14, 8,574.72 and 1,556.16

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Solution

The fourth proportional to 5,716.14, 8,574.72 and 1,556.16 is: 2,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.14 : 8,574.72 = 1,556.16 : x
  2. Step 2: Convert to fraction form
    5,716.14/8,574.72 = 1,556.16/x
  3. Step 3: Cross multiply
    5,716.14x = 8,574.72 × 1,556.16
  4. Step 4: Simplify right side
    5,716.14x = 13,343,636.28
  5. Step 5: Solve for x
    x = 13,343,636.28/5,716.14
  6. Step 6: Final answer
    x = 2,334.38

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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.