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Finding the Fourth Proportional to 5,303.44, 7,955.70 and 1,408.24

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Solution

The fourth proportional to 5,303.44, 7,955.70 and 1,408.24 is: 2,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.44 : 7,955.70 = 1,408.24 : x
  2. Step 2: Convert to fraction form
    5,303.44/7,955.70 = 1,408.24/x
  3. Step 3: Cross multiply
    5,303.44x = 7,955.70 × 1,408.24
  4. Step 4: Simplify right side
    5,303.44x = 11,203,534.97
  5. Step 5: Solve for x
    x = 11,203,534.97/5,303.44
  6. Step 6: Final answer
    x = 2,112.50

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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.