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Finding the Fourth Proportional to 4,872.07, 7,307.16 and 1,314.19

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Solution

The fourth proportional to 4,872.07, 7,307.16 and 1,314.19 is: 1,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.07 : 7,307.16 = 1,314.19 : x
  2. Step 2: Convert to fraction form
    4,872.07/7,307.16 = 1,314.19/x
  3. Step 3: Cross multiply
    4,872.07x = 7,307.16 × 1,314.19
  4. Step 4: Simplify right side
    4,872.07x = 9,602,996.60
  5. Step 5: Solve for x
    x = 9,602,996.60/4,872.07
  6. Step 6: Final answer
    x = 1,971.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.