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Finding the Fourth Proportional to 3,907.27, 5,860.93 and 1,598.77

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Solution

The fourth proportional to 3,907.27, 5,860.93 and 1,598.77 is: 2,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.27 : 5,860.93 = 1,598.77 : x
  2. Step 2: Convert to fraction form
    3,907.27/5,860.93 = 1,598.77/x
  3. Step 3: Cross multiply
    3,907.27x = 5,860.93 × 1,598.77
  4. Step 4: Simplify right side
    3,907.27x = 9,370,279.06
  5. Step 5: Solve for x
    x = 9,370,279.06/3,907.27
  6. Step 6: Final answer
    x = 2,398.17

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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.