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Finding the Fourth Proportional to 5,920.50, 8,854.56 and 5,266.98

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Solution

The fourth proportional to 5,920.50, 8,854.56 and 5,266.98 is: 7,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.50 : 8,854.56 = 5,266.98 : x
  2. Step 2: Convert to fraction form
    5,920.50/8,854.56 = 5,266.98/x
  3. Step 3: Cross multiply
    5,920.50x = 8,854.56 × 5,266.98
  4. Step 4: Simplify right side
    5,920.50x = 46,636,790.43
  5. Step 5: Solve for x
    x = 46,636,790.43/5,920.50
  6. Step 6: Final answer
    x = 7,877.17

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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.