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Finding the Fourth Proportional to 3,473.95, 5,210.00 and 974.99

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Solution

The fourth proportional to 3,473.95, 5,210.00 and 974.99 is: 1,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.95 : 5,210.00 = 974.99 : x
  2. Step 2: Convert to fraction form
    3,473.95/5,210.00 = 974.99/x
  3. Step 3: Cross multiply
    3,473.95x = 5,210.00 × 974.99
  4. Step 4: Simplify right side
    3,473.95x = 5,079,693.03
  5. Step 5: Solve for x
    x = 5,079,693.03/3,473.95
  6. Step 6: Final answer
    x = 1,462.22

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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.