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Finding the Fourth Proportional to 5,265.63, 7,897.77 and 1,370.34

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Solution

The fourth proportional to 5,265.63, 7,897.77 and 1,370.34 is: 2,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.63 : 7,897.77 = 1,370.34 : x
  2. Step 2: Convert to fraction form
    5,265.63/7,897.77 = 1,370.34/x
  3. Step 3: Cross multiply
    5,265.63x = 7,897.77 × 1,370.34
  4. Step 4: Simplify right side
    5,265.63x = 10,822,630.14
  5. Step 5: Solve for x
    x = 10,822,630.14/5,265.63
  6. Step 6: Final answer
    x = 2,055.33

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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.