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Finding the Fourth Proportional to 3,570.75, 5,356.19 and 973.76

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Solution

The fourth proportional to 3,570.75, 5,356.19 and 973.76 is: 1,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.75 : 5,356.19 = 973.76 : x
  2. Step 2: Convert to fraction form
    3,570.75/5,356.19 = 973.76/x
  3. Step 3: Cross multiply
    3,570.75x = 5,356.19 × 973.76
  4. Step 4: Simplify right side
    3,570.75x = 5,215,619.23
  5. Step 5: Solve for x
    x = 5,215,619.23/3,570.75
  6. Step 6: Final answer
    x = 1,460.65

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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.