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Finding the Fourth Proportional to 5,918.44, 8,878.10 and 1,535.92

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Solution

The fourth proportional to 5,918.44, 8,878.10 and 1,535.92 is: 2,303.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.44 : 8,878.10 = 1,535.92 : x
  2. Step 2: Convert to fraction form
    5,918.44/8,878.10 = 1,535.92/x
  3. Step 3: Cross multiply
    5,918.44x = 8,878.10 × 1,535.92
  4. Step 4: Simplify right side
    5,918.44x = 13,636,051.35
  5. Step 5: Solve for x
    x = 13,636,051.35/5,918.44
  6. Step 6: Final answer
    x = 2,303.99

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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.