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Finding the Fourth Proportional to 5,442.34, 7,509.78 and 3,084.40

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Solution

The fourth proportional to 5,442.34, 7,509.78 and 3,084.40 is: 4,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.34 : 7,509.78 = 3,084.40 : x
  2. Step 2: Convert to fraction form
    5,442.34/7,509.78 = 3,084.40/x
  3. Step 3: Cross multiply
    5,442.34x = 7,509.78 × 3,084.40
  4. Step 4: Simplify right side
    5,442.34x = 23,163,165.43
  5. Step 5: Solve for x
    x = 23,163,165.43/5,442.34
  6. Step 6: Final answer
    x = 4,256.10

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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.