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Finding the Fourth Proportional to 3,675.48, 5,071.68 and 2,259.90

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Solution

The fourth proportional to 3,675.48, 5,071.68 and 2,259.90 is: 3,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.48 : 5,071.68 = 2,259.90 : x
  2. Step 2: Convert to fraction form
    3,675.48/5,071.68 = 2,259.90/x
  3. Step 3: Cross multiply
    3,675.48x = 5,071.68 × 2,259.90
  4. Step 4: Simplify right side
    3,675.48x = 11,461,489.63
  5. Step 5: Solve for x
    x = 11,461,489.63/3,675.48
  6. Step 6: Final answer
    x = 3,118.37

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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.