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Finding the Fourth Proportional to 4,637.44, 6,957.68 and 1,715.96

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Solution

The fourth proportional to 4,637.44, 6,957.68 and 1,715.96 is: 2,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.44 : 6,957.68 = 1,715.96 : x
  2. Step 2: Convert to fraction form
    4,637.44/6,957.68 = 1,715.96/x
  3. Step 3: Cross multiply
    4,637.44x = 6,957.68 × 1,715.96
  4. Step 4: Simplify right side
    4,637.44x = 11,939,100.57
  5. Step 5: Solve for x
    x = 11,939,100.57/4,637.44
  6. Step 6: Final answer
    x = 2,574.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.