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Finding the Fourth Proportional to 5,476.48, 8,212.56 and 2,356.72

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Solution

The fourth proportional to 5,476.48, 8,212.56 and 2,356.72 is: 3,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.48 : 8,212.56 = 2,356.72 : x
  2. Step 2: Convert to fraction form
    5,476.48/8,212.56 = 2,356.72/x
  3. Step 3: Cross multiply
    5,476.48x = 8,212.56 × 2,356.72
  4. Step 4: Simplify right side
    5,476.48x = 19,354,741.11
  5. Step 5: Solve for x
    x = 19,354,741.11/5,476.48
  6. Step 6: Final answer
    x = 3,534.16

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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.