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Finding the Fourth Proportional to 4,378.77, 6,564.21 and 1,748.10

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Solution

The fourth proportional to 4,378.77, 6,564.21 and 1,748.10 is: 2,620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.77 : 6,564.21 = 1,748.10 : x
  2. Step 2: Convert to fraction form
    4,378.77/6,564.21 = 1,748.10/x
  3. Step 3: Cross multiply
    4,378.77x = 6,564.21 × 1,748.10
  4. Step 4: Simplify right side
    4,378.77x = 11,474,895.50
  5. Step 5: Solve for x
    x = 11,474,895.50/4,378.77
  6. Step 6: Final answer
    x = 2,620.58

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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.