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Finding the Fourth Proportional to 4,705.11, 7,051.50 and 4,208.58

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Solution

The fourth proportional to 4,705.11, 7,051.50 and 4,208.58 is: 6,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.11 : 7,051.50 = 4,208.58 : x
  2. Step 2: Convert to fraction form
    4,705.11/7,051.50 = 4,208.58/x
  3. Step 3: Cross multiply
    4,705.11x = 7,051.50 × 4,208.58
  4. Step 4: Simplify right side
    4,705.11x = 29,676,801.87
  5. Step 5: Solve for x
    x = 29,676,801.87/4,705.11
  6. Step 6: Final answer
    x = 6,307.36

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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.