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Finding the Fourth Proportional to 4,339.40, 6,477.56 and 4,019

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Solution

The fourth proportional to 4,339.40, 6,477.56 and 4,019 is: 5,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.40 : 6,477.56 = 4,019 : x
  2. Step 2: Convert to fraction form
    4,339.40/6,477.56 = 4,019/x
  3. Step 3: Cross multiply
    4,339.40x = 6,477.56 × 4,019
  4. Step 4: Simplify right side
    4,339.40x = 26,033,313.64
  5. Step 5: Solve for x
    x = 26,033,313.64/4,339.40
  6. Step 6: Final answer
    x = 5,999.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.