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Finding the Fourth Proportional to 5,295.94, 7,945.01 and 1,598.51

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Solution

The fourth proportional to 5,295.94, 7,945.01 and 1,598.51 is: 2,398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.94 : 7,945.01 = 1,598.51 : x
  2. Step 2: Convert to fraction form
    5,295.94/7,945.01 = 1,598.51/x
  3. Step 3: Cross multiply
    5,295.94x = 7,945.01 × 1,598.51
  4. Step 4: Simplify right side
    5,295.94x = 12,700,177.94
  5. Step 5: Solve for x
    x = 12,700,177.94/5,295.94
  6. Step 6: Final answer
    x = 2,398.10

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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.