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Finding the Fourth Proportional to 4,648.71, 6,973.97 and 2,051.67

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Solution

The fourth proportional to 4,648.71, 6,973.97 and 2,051.67 is: 3,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.71 : 6,973.97 = 2,051.67 : x
  2. Step 2: Convert to fraction form
    4,648.71/6,973.97 = 2,051.67/x
  3. Step 3: Cross multiply
    4,648.71x = 6,973.97 × 2,051.67
  4. Step 4: Simplify right side
    4,648.71x = 14,308,274.77
  5. Step 5: Solve for x
    x = 14,308,274.77/4,648.71
  6. Step 6: Final answer
    x = 3,077.90

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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.