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Finding the Fourth Proportional to 4,963.02, 7,444.71 and 1,265.34

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Solution

The fourth proportional to 4,963.02, 7,444.71 and 1,265.34 is: 1,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.02 : 7,444.71 = 1,265.34 : x
  2. Step 2: Convert to fraction form
    4,963.02/7,444.71 = 1,265.34/x
  3. Step 3: Cross multiply
    4,963.02x = 7,444.71 × 1,265.34
  4. Step 4: Simplify right side
    4,963.02x = 9,420,089.35
  5. Step 5: Solve for x
    x = 9,420,089.35/4,963.02
  6. Step 6: Final answer
    x = 1,898.06

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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.