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Finding the Fourth Proportional to 4,771.76, 7,151.88 and 2,030

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Solution

The fourth proportional to 4,771.76, 7,151.88 and 2,030 is: 3,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.76 : 7,151.88 = 2,030 : x
  2. Step 2: Convert to fraction form
    4,771.76/7,151.88 = 2,030/x
  3. Step 3: Cross multiply
    4,771.76x = 7,151.88 × 2,030
  4. Step 4: Simplify right side
    4,771.76x = 14,518,316.40
  5. Step 5: Solve for x
    x = 14,518,316.40/4,771.76
  6. Step 6: Final answer
    x = 3,042.55

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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.