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Finding the Fourth Proportional to 3,973.85, 5,957.23 and 1,506.99

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Solution

The fourth proportional to 3,973.85, 5,957.23 and 1,506.99 is: 2,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.85 : 5,957.23 = 1,506.99 : x
  2. Step 2: Convert to fraction form
    3,973.85/5,957.23 = 1,506.99/x
  3. Step 3: Cross multiply
    3,973.85x = 5,957.23 × 1,506.99
  4. Step 4: Simplify right side
    3,973.85x = 8,977,497.16
  5. Step 5: Solve for x
    x = 8,977,497.16/3,973.85
  6. Step 6: Final answer
    x = 2,259.14

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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.