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Finding the Fourth Proportional to 3,540.48, 5,308.56 and 1,590

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Solution

The fourth proportional to 3,540.48, 5,308.56 and 1,590 is: 2,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.48 : 5,308.56 = 1,590 : x
  2. Step 2: Convert to fraction form
    3,540.48/5,308.56 = 1,590/x
  3. Step 3: Cross multiply
    3,540.48x = 5,308.56 × 1,590
  4. Step 4: Simplify right side
    3,540.48x = 8,440,610.40
  5. Step 5: Solve for x
    x = 8,440,610.40/3,540.48
  6. Step 6: Final answer
    x = 2,384.03

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