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Finding the Fourth Proportional to 3,604.77, 5,407.32 and 1,265.01

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Solution

The fourth proportional to 3,604.77, 5,407.32 and 1,265.01 is: 1,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.77 : 5,407.32 = 1,265.01 : x
  2. Step 2: Convert to fraction form
    3,604.77/5,407.32 = 1,265.01/x
  3. Step 3: Cross multiply
    3,604.77x = 5,407.32 × 1,265.01
  4. Step 4: Simplify right side
    3,604.77x = 6,840,313.87
  5. Step 5: Solve for x
    x = 6,840,313.87/3,604.77
  6. Step 6: Final answer
    x = 1,897.57

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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.