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Finding the Fourth Proportional to 3,670.52, 5,506.68 and 1,720.45

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Solution

The fourth proportional to 3,670.52, 5,506.68 and 1,720.45 is: 2,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.52 : 5,506.68 = 1,720.45 : x
  2. Step 2: Convert to fraction form
    3,670.52/5,506.68 = 1,720.45/x
  3. Step 3: Cross multiply
    3,670.52x = 5,506.68 × 1,720.45
  4. Step 4: Simplify right side
    3,670.52x = 9,473,967.61
  5. Step 5: Solve for x
    x = 9,473,967.61/3,670.52
  6. Step 6: Final answer
    x = 2,581.10

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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.