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Finding the Fourth Proportional to 4,526.98, 6,786.21 and 2,443.86

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Solution

The fourth proportional to 4,526.98, 6,786.21 and 2,443.86 is: 3,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,526.98 : 6,786.21 = 2,443.86 : x
  2. Step 2: Convert to fraction form
    4,526.98/6,786.21 = 2,443.86/x
  3. Step 3: Cross multiply
    4,526.98x = 6,786.21 × 2,443.86
  4. Step 4: Simplify right side
    4,526.98x = 16,584,547.17
  5. Step 5: Solve for x
    x = 16,584,547.17/4,526.98
  6. Step 6: Final answer
    x = 3,663.49

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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.