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Finding the Fourth Proportional to 5,442.04, 7,509.95 and 3,204.01

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Solution

The fourth proportional to 5,442.04, 7,509.95 and 3,204.01 is: 4,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.04 : 7,509.95 = 3,204.01 : x
  2. Step 2: Convert to fraction form
    5,442.04/7,509.95 = 3,204.01/x
  3. Step 3: Cross multiply
    5,442.04x = 7,509.95 × 3,204.01
  4. Step 4: Simplify right side
    5,442.04x = 24,061,938.88
  5. Step 5: Solve for x
    x = 24,061,938.88/5,442.04
  6. Step 6: Final answer
    x = 4,421.49

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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.