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Finding the Fourth Proportional to 4,823.72, 7,235.32 and 1,703.88

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Solution

The fourth proportional to 4,823.72, 7,235.32 and 1,703.88 is: 2,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.72 : 7,235.32 = 1,703.88 : x
  2. Step 2: Convert to fraction form
    4,823.72/7,235.32 = 1,703.88/x
  3. Step 3: Cross multiply
    4,823.72x = 7,235.32 × 1,703.88
  4. Step 4: Simplify right side
    4,823.72x = 12,328,117.04
  5. Step 5: Solve for x
    x = 12,328,117.04/4,823.72
  6. Step 6: Final answer
    x = 2,555.73

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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.