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Finding the Fourth Proportional to 4,570.22, 6,306.86 and 2,580.74

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Solution

The fourth proportional to 4,570.22, 6,306.86 and 2,580.74 is: 3,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.22 : 6,306.86 = 2,580.74 : x
  2. Step 2: Convert to fraction form
    4,570.22/6,306.86 = 2,580.74/x
  3. Step 3: Cross multiply
    4,570.22x = 6,306.86 × 2,580.74
  4. Step 4: Simplify right side
    4,570.22x = 16,276,365.88
  5. Step 5: Solve for x
    x = 16,276,365.88/4,570.22
  6. Step 6: Final answer
    x = 3,561.40

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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.