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Finding the Fourth Proportional to 4,698.61, 7,046.60 and 1,411.22

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Solution

The fourth proportional to 4,698.61, 7,046.60 and 1,411.22 is: 2,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.61 : 7,046.60 = 1,411.22 : x
  2. Step 2: Convert to fraction form
    4,698.61/7,046.60 = 1,411.22/x
  3. Step 3: Cross multiply
    4,698.61x = 7,046.60 × 1,411.22
  4. Step 4: Simplify right side
    4,698.61x = 9,944,313.41
  5. Step 5: Solve for x
    x = 9,944,313.41/4,698.61
  6. Step 6: Final answer
    x = 2,116.44

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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.