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Finding the Fourth Proportional to 4,999.64, 7,483.73 and 3,430.47

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Solution

The fourth proportional to 4,999.64, 7,483.73 and 3,430.47 is: 5,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.64 : 7,483.73 = 3,430.47 : x
  2. Step 2: Convert to fraction form
    4,999.64/7,483.73 = 3,430.47/x
  3. Step 3: Cross multiply
    4,999.64x = 7,483.73 × 3,430.47
  4. Step 4: Simplify right side
    4,999.64x = 25,672,699.37
  5. Step 5: Solve for x
    x = 25,672,699.37/4,999.64
  6. Step 6: Final answer
    x = 5,134.91

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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.