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Finding the Fourth Proportional to 5,442.06, 7,510.11 and 3,084.15

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Solution

The fourth proportional to 5,442.06, 7,510.11 and 3,084.15 is: 4,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.06 : 7,510.11 = 3,084.15 : x
  2. Step 2: Convert to fraction form
    5,442.06/7,510.11 = 3,084.15/x
  3. Step 3: Cross multiply
    5,442.06x = 7,510.11 × 3,084.15
  4. Step 4: Simplify right side
    5,442.06x = 23,162,305.76
  5. Step 5: Solve for x
    x = 23,162,305.76/5,442.06
  6. Step 6: Final answer
    x = 4,256.17

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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.