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Finding the Fourth Proportional to 4,223.04, 6,335.32 and 1,300.66

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Solution

The fourth proportional to 4,223.04, 6,335.32 and 1,300.66 is: 1,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.04 : 6,335.32 = 1,300.66 : x
  2. Step 2: Convert to fraction form
    4,223.04/6,335.32 = 1,300.66/x
  3. Step 3: Cross multiply
    4,223.04x = 6,335.32 × 1,300.66
  4. Step 4: Simplify right side
    4,223.04x = 8,240,097.31
  5. Step 5: Solve for x
    x = 8,240,097.31/4,223.04
  6. Step 6: Final answer
    x = 1,951.22

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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.