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Finding the Fourth Proportional to 3,526.84, 5,287.56 and 1,746.82

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Solution

The fourth proportional to 3,526.84, 5,287.56 and 1,746.82 is: 2,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.84 : 5,287.56 = 1,746.82 : x
  2. Step 2: Convert to fraction form
    3,526.84/5,287.56 = 1,746.82/x
  3. Step 3: Cross multiply
    3,526.84x = 5,287.56 × 1,746.82
  4. Step 4: Simplify right side
    3,526.84x = 9,236,415.56
  5. Step 5: Solve for x
    x = 9,236,415.56/3,526.84
  6. Step 6: Final answer
    x = 2,618.89

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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.