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Finding the Fourth Proportional to 4,494.88, 6,746.10 and 2,305.72

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Solution

The fourth proportional to 4,494.88, 6,746.10 and 2,305.72 is: 3,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.88 : 6,746.10 = 2,305.72 : x
  2. Step 2: Convert to fraction form
    4,494.88/6,746.10 = 2,305.72/x
  3. Step 3: Cross multiply
    4,494.88x = 6,746.10 × 2,305.72
  4. Step 4: Simplify right side
    4,494.88x = 15,554,617.69
  5. Step 5: Solve for x
    x = 15,554,617.69/4,494.88
  6. Step 6: Final answer
    x = 3,460.52

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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.