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Finding the Fourth Proportional to 5,137.90, 7,090.52 and 3,248.80

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Solution

The fourth proportional to 5,137.90, 7,090.52 and 3,248.80 is: 4,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.90 : 7,090.52 = 3,248.80 : x
  2. Step 2: Convert to fraction form
    5,137.90/7,090.52 = 3,248.80/x
  3. Step 3: Cross multiply
    5,137.90x = 7,090.52 × 3,248.80
  4. Step 4: Simplify right side
    5,137.90x = 23,035,681.38
  5. Step 5: Solve for x
    x = 23,035,681.38/5,137.90
  6. Step 6: Final answer
    x = 4,483.48

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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.