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Finding the Fourth Proportional to 5,538.90, 7,628.13 and 5,417.94

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Solution

The fourth proportional to 5,538.90, 7,628.13 and 5,417.94 is: 7,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.90 : 7,628.13 = 5,417.94 : x
  2. Step 2: Convert to fraction form
    5,538.90/7,628.13 = 5,417.94/x
  3. Step 3: Cross multiply
    5,538.90x = 7,628.13 × 5,417.94
  4. Step 4: Simplify right side
    5,538.90x = 41,328,750.65
  5. Step 5: Solve for x
    x = 41,328,750.65/5,538.90
  6. Step 6: Final answer
    x = 7,461.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.