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Finding the Fourth Proportional to 4,973.99, 7,460.43 and 1,276.31

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Solution

The fourth proportional to 4,973.99, 7,460.43 and 1,276.31 is: 1,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.99 : 7,460.43 = 1,276.31 : x
  2. Step 2: Convert to fraction form
    4,973.99/7,460.43 = 1,276.31/x
  3. Step 3: Cross multiply
    4,973.99x = 7,460.43 × 1,276.31
  4. Step 4: Simplify right side
    4,973.99x = 9,521,821.41
  5. Step 5: Solve for x
    x = 9,521,821.41/4,973.99
  6. Step 6: Final answer
    x = 1,914.32

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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.