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Finding the Fourth Proportional to 4,068.57, 6,102.86 and 1,295.40

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Solution

The fourth proportional to 4,068.57, 6,102.86 and 1,295.40 is: 1,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.57 : 6,102.86 = 1,295.40 : x
  2. Step 2: Convert to fraction form
    4,068.57/6,102.86 = 1,295.40/x
  3. Step 3: Cross multiply
    4,068.57x = 6,102.86 × 1,295.40
  4. Step 4: Simplify right side
    4,068.57x = 7,905,661.25
  5. Step 5: Solve for x
    x = 7,905,661.25/4,068.57
  6. Step 6: Final answer
    x = 1,943.10

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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.