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Finding the Fourth Proportional to 4,407.16, 6,597.93 and 3,430.30

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Solution

The fourth proportional to 4,407.16, 6,597.93 and 3,430.30 is: 5,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.16 : 6,597.93 = 3,430.30 : x
  2. Step 2: Convert to fraction form
    4,407.16/6,597.93 = 3,430.30/x
  3. Step 3: Cross multiply
    4,407.16x = 6,597.93 × 3,430.30
  4. Step 4: Simplify right side
    4,407.16x = 22,632,879.28
  5. Step 5: Solve for x
    x = 22,632,879.28/4,407.16
  6. Step 6: Final answer
    x = 5,135.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.