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Finding the Fourth Proportional to 4,966.08, 7,449.11 and 1,681.48

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Solution

The fourth proportional to 4,966.08, 7,449.11 and 1,681.48 is: 2,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.08 : 7,449.11 = 1,681.48 : x
  2. Step 2: Convert to fraction form
    4,966.08/7,449.11 = 1,681.48/x
  3. Step 3: Cross multiply
    4,966.08x = 7,449.11 × 1,681.48
  4. Step 4: Simplify right side
    4,966.08x = 12,525,567.10
  5. Step 5: Solve for x
    x = 12,525,567.10/4,966.08
  6. Step 6: Final answer
    x = 2,522.22

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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.