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Finding the Fourth Proportional to 5,966.48, 8,952.93 and 3,506.10

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Solution

The fourth proportional to 5,966.48, 8,952.93 and 3,506.10 is: 5,261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.48 : 8,952.93 = 3,506.10 : x
  2. Step 2: Convert to fraction form
    5,966.48/8,952.93 = 3,506.10/x
  3. Step 3: Cross multiply
    5,966.48x = 8,952.93 × 3,506.10
  4. Step 4: Simplify right side
    5,966.48x = 31,389,867.87
  5. Step 5: Solve for x
    x = 31,389,867.87/5,966.48
  6. Step 6: Final answer
    x = 5,261.04

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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.