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Finding the Fourth Proportional to 5,313.72, 7,334.16 and 3,546

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Solution

The fourth proportional to 5,313.72, 7,334.16 and 3,546 is: 4,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.72 : 7,334.16 = 3,546 : x
  2. Step 2: Convert to fraction form
    5,313.72/7,334.16 = 3,546/x
  3. Step 3: Cross multiply
    5,313.72x = 7,334.16 × 3,546
  4. Step 4: Simplify right side
    5,313.72x = 26,006,931.36
  5. Step 5: Solve for x
    x = 26,006,931.36/5,313.72
  6. Step 6: Final answer
    x = 4,894.30

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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.