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Finding the Fourth Proportional to 3,495.59, 5,239.70 and 1,760.57

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Solution

The fourth proportional to 3,495.59, 5,239.70 and 1,760.57 is: 2,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.59 : 5,239.70 = 1,760.57 : x
  2. Step 2: Convert to fraction form
    3,495.59/5,239.70 = 1,760.57/x
  3. Step 3: Cross multiply
    3,495.59x = 5,239.70 × 1,760.57
  4. Step 4: Simplify right side
    3,495.59x = 9,224,823.63
  5. Step 5: Solve for x
    x = 9,224,823.63/3,495.59
  6. Step 6: Final answer
    x = 2,638.99

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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.