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Finding the Fourth Proportional to 3,809.90, 5,714.78 and 1,036.84

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Solution

The fourth proportional to 3,809.90, 5,714.78 and 1,036.84 is: 1,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.90 : 5,714.78 = 1,036.84 : x
  2. Step 2: Convert to fraction form
    3,809.90/5,714.78 = 1,036.84/x
  3. Step 3: Cross multiply
    3,809.90x = 5,714.78 × 1,036.84
  4. Step 4: Simplify right side
    3,809.90x = 5,925,312.50
  5. Step 5: Solve for x
    x = 5,925,312.50/3,809.90
  6. Step 6: Final answer
    x = 1,555.24

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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.