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Finding the Fourth Proportional to 4,684.14, 7,024.16 and 1,397.42

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Solution

The fourth proportional to 4,684.14, 7,024.16 and 1,397.42 is: 2,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.14 : 7,024.16 = 1,397.42 : x
  2. Step 2: Convert to fraction form
    4,684.14/7,024.16 = 1,397.42/x
  3. Step 3: Cross multiply
    4,684.14x = 7,024.16 × 1,397.42
  4. Step 4: Simplify right side
    4,684.14x = 9,815,701.67
  5. Step 5: Solve for x
    x = 9,815,701.67/4,684.14
  6. Step 6: Final answer
    x = 2,095.52

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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.