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Finding the Fourth Proportional to 6,421.50, 8,856.81 and 4,435.38

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Solution

The fourth proportional to 6,421.50, 8,856.81 and 4,435.38 is: 6,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.50 : 8,856.81 = 4,435.38 : x
  2. Step 2: Convert to fraction form
    6,421.50/8,856.81 = 4,435.38/x
  3. Step 3: Cross multiply
    6,421.50x = 8,856.81 × 4,435.38
  4. Step 4: Simplify right side
    6,421.50x = 39,283,317.94
  5. Step 5: Solve for x
    x = 39,283,317.94/6,421.50
  6. Step 6: Final answer
    x = 6,117.47

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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.