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Finding the Fourth Proportional to 4,856.63, 6,703.25 and 3,438.84

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Solution

The fourth proportional to 4,856.63, 6,703.25 and 3,438.84 is: 4,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.63 : 6,703.25 = 3,438.84 : x
  2. Step 2: Convert to fraction form
    4,856.63/6,703.25 = 3,438.84/x
  3. Step 3: Cross multiply
    4,856.63x = 6,703.25 × 3,438.84
  4. Step 4: Simplify right side
    4,856.63x = 23,051,404.23
  5. Step 5: Solve for x
    x = 23,051,404.23/4,856.63
  6. Step 6: Final answer
    x = 4,746.38

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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.