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Finding the Fourth Proportional to 5,303.68, 7,954.64 and 1,408.16

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Solution

The fourth proportional to 5,303.68, 7,954.64 and 1,408.16 is: 2,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.68 : 7,954.64 = 1,408.16 : x
  2. Step 2: Convert to fraction form
    5,303.68/7,954.64 = 1,408.16/x
  3. Step 3: Cross multiply
    5,303.68x = 7,954.64 × 1,408.16
  4. Step 4: Simplify right side
    5,303.68x = 11,201,405.86
  5. Step 5: Solve for x
    x = 11,201,405.86/5,303.68
  6. Step 6: Final answer
    x = 2,112.01

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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.