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Finding the Fourth Proportional to 4,578.16, 6,315.60 and 3,084.16

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Solution

The fourth proportional to 4,578.16, 6,315.60 and 3,084.16 is: 4,254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.16 : 6,315.60 = 3,084.16 : x
  2. Step 2: Convert to fraction form
    4,578.16/6,315.60 = 3,084.16/x
  3. Step 3: Cross multiply
    4,578.16x = 6,315.60 × 3,084.16
  4. Step 4: Simplify right side
    4,578.16x = 19,478,320.90
  5. Step 5: Solve for x
    x = 19,478,320.90/4,578.16
  6. Step 6: Final answer
    x = 4,254.62

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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.