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Finding the Fourth Proportional to 3,907.35, 5,857.47 and 1,440.45

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Solution

The fourth proportional to 3,907.35, 5,857.47 and 1,440.45 is: 2,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.35 : 5,857.47 = 1,440.45 : x
  2. Step 2: Convert to fraction form
    3,907.35/5,857.47 = 1,440.45/x
  3. Step 3: Cross multiply
    3,907.35x = 5,857.47 × 1,440.45
  4. Step 4: Simplify right side
    3,907.35x = 8,437,392.66
  5. Step 5: Solve for x
    x = 8,437,392.66/3,907.35
  6. Step 6: Final answer
    x = 2,159.36

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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.