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Finding the Fourth Proportional to 4,714.81, 7,074.03 and 1,427.93

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Solution

The fourth proportional to 4,714.81, 7,074.03 and 1,427.93 is: 2,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.81 : 7,074.03 = 1,427.93 : x
  2. Step 2: Convert to fraction form
    4,714.81/7,074.03 = 1,427.93/x
  3. Step 3: Cross multiply
    4,714.81x = 7,074.03 × 1,427.93
  4. Step 4: Simplify right side
    4,714.81x = 10,101,216.17
  5. Step 5: Solve for x
    x = 10,101,216.17/4,714.81
  6. Step 6: Final answer
    x = 2,142.45

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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.