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Finding the Fourth Proportional to 3,779.84, 5,214.48 and 2,207

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Solution

The fourth proportional to 3,779.84, 5,214.48 and 2,207 is: 3,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.84 : 5,214.48 = 2,207 : x
  2. Step 2: Convert to fraction form
    3,779.84/5,214.48 = 2,207/x
  3. Step 3: Cross multiply
    3,779.84x = 5,214.48 × 2,207
  4. Step 4: Simplify right side
    3,779.84x = 11,508,357.36
  5. Step 5: Solve for x
    x = 11,508,357.36/3,779.84
  6. Step 6: Final answer
    x = 3,044.67

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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.