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Finding the Fourth Proportional to 4,203.28, 6,305.28 and 1,430.74

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Solution

The fourth proportional to 4,203.28, 6,305.28 and 1,430.74 is: 2,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.28 : 6,305.28 = 1,430.74 : x
  2. Step 2: Convert to fraction form
    4,203.28/6,305.28 = 1,430.74/x
  3. Step 3: Cross multiply
    4,203.28x = 6,305.28 × 1,430.74
  4. Step 4: Simplify right side
    4,203.28x = 9,021,216.31
  5. Step 5: Solve for x
    x = 9,021,216.31/4,203.28
  6. Step 6: Final answer
    x = 2,146.23

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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.