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Finding the Fourth Proportional to 4,829.71, 7,248.67 and 2,639.98

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Solution

The fourth proportional to 4,829.71, 7,248.67 and 2,639.98 is: 3,962.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.71 : 7,248.67 = 2,639.98 : x
  2. Step 2: Convert to fraction form
    4,829.71/7,248.67 = 2,639.98/x
  3. Step 3: Cross multiply
    4,829.71x = 7,248.67 × 2,639.98
  4. Step 4: Simplify right side
    4,829.71x = 19,136,343.83
  5. Step 5: Solve for x
    x = 19,136,343.83/4,829.71
  6. Step 6: Final answer
    x = 3,962.21

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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.