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Finding the Fourth Proportional to 3,570.99, 5,356.46 and 973.92

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Solution

The fourth proportional to 3,570.99, 5,356.46 and 973.92 is: 1,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.99 : 5,356.46 = 973.92 : x
  2. Step 2: Convert to fraction form
    3,570.99/5,356.46 = 973.92/x
  3. Step 3: Cross multiply
    3,570.99x = 5,356.46 × 973.92
  4. Step 4: Simplify right side
    3,570.99x = 5,216,786.04
  5. Step 5: Solve for x
    x = 5,216,786.04/3,570.99
  6. Step 6: Final answer
    x = 1,460.88

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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.