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Finding the Fourth Proportional to 4,491.98, 6,741.05 and 1,570.29

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Solution

The fourth proportional to 4,491.98, 6,741.05 and 1,570.29 is: 2,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.98 : 6,741.05 = 1,570.29 : x
  2. Step 2: Convert to fraction form
    4,491.98/6,741.05 = 1,570.29/x
  3. Step 3: Cross multiply
    4,491.98x = 6,741.05 × 1,570.29
  4. Step 4: Simplify right side
    4,491.98x = 10,585,403.40
  5. Step 5: Solve for x
    x = 10,585,403.40/4,491.98
  6. Step 6: Final answer
    x = 2,356.51

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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.