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Finding the Fourth Proportional to 4,792.80, 7,146.87 and 4,210.19

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Solution

The fourth proportional to 4,792.80, 7,146.87 and 4,210.19 is: 6,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.80 : 7,146.87 = 4,210.19 : x
  2. Step 2: Convert to fraction form
    4,792.80/7,146.87 = 4,210.19/x
  3. Step 3: Cross multiply
    4,792.80x = 7,146.87 × 4,210.19
  4. Step 4: Simplify right side
    4,792.80x = 30,089,680.61
  5. Step 5: Solve for x
    x = 30,089,680.61/4,792.80
  6. Step 6: Final answer
    x = 6,278.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.