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Finding the Fourth Proportional to 4,807.67, 7,210.89 and 1,297.95

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Solution

The fourth proportional to 4,807.67, 7,210.89 and 1,297.95 is: 1,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.67 : 7,210.89 = 1,297.95 : x
  2. Step 2: Convert to fraction form
    4,807.67/7,210.89 = 1,297.95/x
  3. Step 3: Cross multiply
    4,807.67x = 7,210.89 × 1,297.95
  4. Step 4: Simplify right side
    4,807.67x = 9,359,374.68
  5. Step 5: Solve for x
    x = 9,359,374.68/4,807.67
  6. Step 6: Final answer
    x = 1,946.76

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Why These Related Problems?

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