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Finding the Fourth Proportional to 3,697.35, 5,546.00 and 924.00

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Solution

The fourth proportional to 3,697.35, 5,546.00 and 924.00 is: 1,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.35 : 5,546.00 = 924.00 : x
  2. Step 2: Convert to fraction form
    3,697.35/5,546.00 = 924.00/x
  3. Step 3: Cross multiply
    3,697.35x = 5,546.00 × 924.00
  4. Step 4: Simplify right side
    3,697.35x = 5,124,513.24
  5. Step 5: Solve for x
    x = 5,124,513.24/3,697.35
  6. Step 6: Final answer
    x = 1,386.00

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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.