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Finding the Fourth Proportional to 4,822.64, 7,235.07 and 2,049.40

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Solution

The fourth proportional to 4,822.64, 7,235.07 and 2,049.40 is: 3,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.64 : 7,235.07 = 2,049.40 : x
  2. Step 2: Convert to fraction form
    4,822.64/7,235.07 = 2,049.40/x
  3. Step 3: Cross multiply
    4,822.64x = 7,235.07 × 2,049.40
  4. Step 4: Simplify right side
    4,822.64x = 14,827,565.34
  5. Step 5: Solve for x
    x = 14,827,565.34/4,822.64
  6. Step 6: Final answer
    x = 3,074.58

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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.