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Finding the Fourth Proportional to 4,570.65, 6,308.01 and 3,823.29

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Solution

The fourth proportional to 4,570.65, 6,308.01 and 3,823.29 is: 5,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.65 : 6,308.01 = 3,823.29 : x
  2. Step 2: Convert to fraction form
    4,570.65/6,308.01 = 3,823.29/x
  3. Step 3: Cross multiply
    4,570.65x = 6,308.01 × 3,823.29
  4. Step 4: Simplify right side
    4,570.65x = 24,117,351.55
  5. Step 5: Solve for x
    x = 24,117,351.55/4,570.65
  6. Step 6: Final answer
    x = 5,276.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.