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Finding the Fourth Proportional to 5,762.02, 7,945.05 and 5,009.38

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Solution

The fourth proportional to 5,762.02, 7,945.05 and 5,009.38 is: 6,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.02 : 7,945.05 = 5,009.38 : x
  2. Step 2: Convert to fraction form
    5,762.02/7,945.05 = 5,009.38/x
  3. Step 3: Cross multiply
    5,762.02x = 7,945.05 × 5,009.38
  4. Step 4: Simplify right side
    5,762.02x = 39,799,774.57
  5. Step 5: Solve for x
    x = 39,799,774.57/5,762.02
  6. Step 6: Final answer
    x = 6,907.26

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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.