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Finding the Fourth Proportional to 4,497.44, 6,746.18 and 1,419.44

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Solution

The fourth proportional to 4,497.44, 6,746.18 and 1,419.44 is: 2,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.44 : 6,746.18 = 1,419.44 : x
  2. Step 2: Convert to fraction form
    4,497.44/6,746.18 = 1,419.44/x
  3. Step 3: Cross multiply
    4,497.44x = 6,746.18 × 1,419.44
  4. Step 4: Simplify right side
    4,497.44x = 9,575,797.74
  5. Step 5: Solve for x
    x = 9,575,797.74/4,497.44
  6. Step 6: Final answer
    x = 2,129.17

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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.