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Finding the Fourth Proportional to 5,362.71, 7,400.10 and 3,004.53

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Solution

The fourth proportional to 5,362.71, 7,400.10 and 3,004.53 is: 4,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.71 : 7,400.10 = 3,004.53 : x
  2. Step 2: Convert to fraction form
    5,362.71/7,400.10 = 3,004.53/x
  3. Step 3: Cross multiply
    5,362.71x = 7,400.10 × 3,004.53
  4. Step 4: Simplify right side
    5,362.71x = 22,233,822.45
  5. Step 5: Solve for x
    x = 22,233,822.45/5,362.71
  6. Step 6: Final answer
    x = 4,146.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.