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Finding the Fourth Proportional to 5,495, 7,582.70 and 3,136.68

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Solution

The fourth proportional to 5,495, 7,582.70 and 3,136.68 is: 4,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495 : 7,582.70 = 3,136.68 : x
  2. Step 2: Convert to fraction form
    5,495/7,582.70 = 3,136.68/x
  3. Step 3: Cross multiply
    5,495x = 7,582.70 × 3,136.68
  4. Step 4: Simplify right side
    5,495x = 23,784,503.44
  5. Step 5: Solve for x
    x = 23,784,503.44/5,495
  6. Step 6: Final answer
    x = 4,328.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.