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Finding the Fourth Proportional to 4,638.48, 6,950.16 and 3,907.68

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Solution

The fourth proportional to 4,638.48, 6,950.16 and 3,907.68 is: 5,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.48 : 6,950.16 = 3,907.68 : x
  2. Step 2: Convert to fraction form
    4,638.48/6,950.16 = 3,907.68/x
  3. Step 3: Cross multiply
    4,638.48x = 6,950.16 × 3,907.68
  4. Step 4: Simplify right side
    4,638.48x = 27,159,001.23
  5. Step 5: Solve for x
    x = 27,159,001.23/4,638.48
  6. Step 6: Final answer
    x = 5,855.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.