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Finding the Fourth Proportional to 5,146.69, 7,730.36 and 3,070.74

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Solution

The fourth proportional to 5,146.69, 7,730.36 and 3,070.74 is: 4,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.69 : 7,730.36 = 3,070.74 : x
  2. Step 2: Convert to fraction form
    5,146.69/7,730.36 = 3,070.74/x
  3. Step 3: Cross multiply
    5,146.69x = 7,730.36 × 3,070.74
  4. Step 4: Simplify right side
    5,146.69x = 23,737,952.67
  5. Step 5: Solve for x
    x = 23,737,952.67/5,146.69
  6. Step 6: Final answer
    x = 4,612.28

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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.