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Finding the Fourth Proportional to 3,582, 5,373.36 and 1,274.40

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Solution

The fourth proportional to 3,582, 5,373.36 and 1,274.40 is: 1,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582 : 5,373.36 = 1,274.40 : x
  2. Step 2: Convert to fraction form
    3,582/5,373.36 = 1,274.40/x
  3. Step 3: Cross multiply
    3,582x = 5,373.36 × 1,274.40
  4. Step 4: Simplify right side
    3,582x = 6,847,809.98
  5. Step 5: Solve for x
    x = 6,847,809.98/3,582
  6. Step 6: Final answer
    x = 1,911.73

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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.