Home / 5,096.63-7,646.16-1,809.47

Finding the Fourth Proportional to 5,096.63, 7,646.16 and 1,809.47

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Solution

The fourth proportional to 5,096.63, 7,646.16 and 1,809.47 is: 2,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.63 : 7,646.16 = 1,809.47 : x
  2. Step 2: Convert to fraction form
    5,096.63/7,646.16 = 1,809.47/x
  3. Step 3: Cross multiply
    5,096.63x = 7,646.16 × 1,809.47
  4. Step 4: Simplify right side
    5,096.63x = 13,835,497.14
  5. Step 5: Solve for x
    x = 13,835,497.14/5,096.63
  6. Step 6: Final answer
    x = 2,714.64

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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.