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Finding the Fourth Proportional to 4,203.40, 6,305.10 and 1,125.40

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Solution

The fourth proportional to 4,203.40, 6,305.10 and 1,125.40 is: 1,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.40 : 6,305.10 = 1,125.40 : x
  2. Step 2: Convert to fraction form
    4,203.40/6,305.10 = 1,125.40/x
  3. Step 3: Cross multiply
    4,203.40x = 6,305.10 × 1,125.40
  4. Step 4: Simplify right side
    4,203.40x = 7,095,759.54
  5. Step 5: Solve for x
    x = 7,095,759.54/4,203.40
  6. Step 6: Final answer
    x = 1,688.10

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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.