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Finding the Fourth Proportional to 4,670.06, 6,430.20 and 4,004.24

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Solution

The fourth proportional to 4,670.06, 6,430.20 and 4,004.24 is: 5,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.06 : 6,430.20 = 4,004.24 : x
  2. Step 2: Convert to fraction form
    4,670.06/6,430.20 = 4,004.24/x
  3. Step 3: Cross multiply
    4,670.06x = 6,430.20 × 4,004.24
  4. Step 4: Simplify right side
    4,670.06x = 25,748,064.05
  5. Step 5: Solve for x
    x = 25,748,064.05/4,670.06
  6. Step 6: Final answer
    x = 5,513.43

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