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Finding the Fourth Proportional to 4,870.88, 7,305.24 and 1,408.40

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Solution

The fourth proportional to 4,870.88, 7,305.24 and 1,408.40 is: 2,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.88 : 7,305.24 = 1,408.40 : x
  2. Step 2: Convert to fraction form
    4,870.88/7,305.24 = 1,408.40/x
  3. Step 3: Cross multiply
    4,870.88x = 7,305.24 × 1,408.40
  4. Step 4: Simplify right side
    4,870.88x = 10,288,700.02
  5. Step 5: Solve for x
    x = 10,288,700.02/4,870.88
  6. Step 6: Final answer
    x = 2,112.29

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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.