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Finding the Fourth Proportional to 5,442.04, 7,509.54 and 3,084.04

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Solution

The fourth proportional to 5,442.04, 7,509.54 and 3,084.04 is: 4,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.04 : 7,509.54 = 3,084.04 : x
  2. Step 2: Convert to fraction form
    5,442.04/7,509.54 = 3,084.04/x
  3. Step 3: Cross multiply
    5,442.04x = 7,509.54 × 3,084.04
  4. Step 4: Simplify right side
    5,442.04x = 23,159,721.74
  5. Step 5: Solve for x
    x = 23,159,721.74/5,442.04
  6. Step 6: Final answer
    x = 4,255.71

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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.