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Finding the Fourth Proportional to 3,537.84, 5,310.86 and 1,897.59

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Solution

The fourth proportional to 3,537.84, 5,310.86 and 1,897.59 is: 2,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.84 : 5,310.86 = 1,897.59 : x
  2. Step 2: Convert to fraction form
    3,537.84/5,310.86 = 1,897.59/x
  3. Step 3: Cross multiply
    3,537.84x = 5,310.86 × 1,897.59
  4. Step 4: Simplify right side
    3,537.84x = 10,077,812.06
  5. Step 5: Solve for x
    x = 10,077,812.06/3,537.84
  6. Step 6: Final answer
    x = 2,848.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.