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Finding the Fourth Proportional to 4,637.70, 6,957.31 and 1,516.80

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Solution

The fourth proportional to 4,637.70, 6,957.31 and 1,516.80 is: 2,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.70 : 6,957.31 = 1,516.80 : x
  2. Step 2: Convert to fraction form
    4,637.70/6,957.31 = 1,516.80/x
  3. Step 3: Cross multiply
    4,637.70x = 6,957.31 × 1,516.80
  4. Step 4: Simplify right side
    4,637.70x = 10,552,844.02
  5. Step 5: Solve for x
    x = 10,552,844.02/4,637.70
  6. Step 6: Final answer
    x = 2,275.45

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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.