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Finding the Fourth Proportional to 4,498.79, 6,746.09 and 1,377.99

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Solution

The fourth proportional to 4,498.79, 6,746.09 and 1,377.99 is: 2,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.79 : 6,746.09 = 1,377.99 : x
  2. Step 2: Convert to fraction form
    4,498.79/6,746.09 = 1,377.99/x
  3. Step 3: Cross multiply
    4,498.79x = 6,746.09 × 1,377.99
  4. Step 4: Simplify right side
    4,498.79x = 9,296,037.67
  5. Step 5: Solve for x
    x = 9,296,037.67/4,498.79
  6. Step 6: Final answer
    x = 2,066.34

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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.