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Finding the Fourth Proportional to 5,538.04, 7,638.57 and 5,354.98

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Solution

The fourth proportional to 5,538.04, 7,638.57 and 5,354.98 is: 7,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.04 : 7,638.57 = 5,354.98 : x
  2. Step 2: Convert to fraction form
    5,538.04/7,638.57 = 5,354.98/x
  3. Step 3: Cross multiply
    5,538.04x = 7,638.57 × 5,354.98
  4. Step 4: Simplify right side
    5,538.04x = 40,904,370.48
  5. Step 5: Solve for x
    x = 40,904,370.48/5,538.04
  6. Step 6: Final answer
    x = 7,386.08

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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.