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Finding the Fourth Proportional to 3,582.94, 5,373.06 and 1,733.44

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Solution

The fourth proportional to 3,582.94, 5,373.06 and 1,733.44 is: 2,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.94 : 5,373.06 = 1,733.44 : x
  2. Step 2: Convert to fraction form
    3,582.94/5,373.06 = 1,733.44/x
  3. Step 3: Cross multiply
    3,582.94x = 5,373.06 × 1,733.44
  4. Step 4: Simplify right side
    3,582.94x = 9,313,877.13
  5. Step 5: Solve for x
    x = 9,313,877.13/3,582.94
  6. Step 6: Final answer
    x = 2,599.51

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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.