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Finding the Fourth Proportional to 5,918.88, 8,878.26 and 1,535.94

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Solution

The fourth proportional to 5,918.88, 8,878.26 and 1,535.94 is: 2,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.88 : 8,878.26 = 1,535.94 : x
  2. Step 2: Convert to fraction form
    5,918.88/8,878.26 = 1,535.94/x
  3. Step 3: Cross multiply
    5,918.88x = 8,878.26 × 1,535.94
  4. Step 4: Simplify right side
    5,918.88x = 13,636,474.66
  5. Step 5: Solve for x
    x = 13,636,474.66/5,918.88
  6. Step 6: Final answer
    x = 2,303.89

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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.