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Finding the Fourth Proportional to 4,238.84, 6,357.71 and 1,119.10

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Solution

The fourth proportional to 4,238.84, 6,357.71 and 1,119.10 is: 1,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.84 : 6,357.71 = 1,119.10 : x
  2. Step 2: Convert to fraction form
    4,238.84/6,357.71 = 1,119.10/x
  3. Step 3: Cross multiply
    4,238.84x = 6,357.71 × 1,119.10
  4. Step 4: Simplify right side
    4,238.84x = 7,114,900.16
  5. Step 5: Solve for x
    x = 7,114,900.16/4,238.84
  6. Step 6: Final answer
    x = 1,678.50

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Why These Related Problems?

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