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Finding the Fourth Proportional to 4,676.76, 6,454.02 and 2,580.89

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Solution

The fourth proportional to 4,676.76, 6,454.02 and 2,580.89 is: 3,561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.76 : 6,454.02 = 2,580.89 : x
  2. Step 2: Convert to fraction form
    4,676.76/6,454.02 = 2,580.89/x
  3. Step 3: Cross multiply
    4,676.76x = 6,454.02 × 2,580.89
  4. Step 4: Simplify right side
    4,676.76x = 16,657,093.09
  5. Step 5: Solve for x
    x = 16,657,093.09/4,676.76
  6. Step 6: Final answer
    x = 3,561.67

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1.5x scale

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.