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Finding the Fourth Proportional to 4,501.60, 6,751.20 and 1,577.92

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Solution

The fourth proportional to 4,501.60, 6,751.20 and 1,577.92 is: 2,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.60 : 6,751.20 = 1,577.92 : x
  2. Step 2: Convert to fraction form
    4,501.60/6,751.20 = 1,577.92/x
  3. Step 3: Cross multiply
    4,501.60x = 6,751.20 × 1,577.92
  4. Step 4: Simplify right side
    4,501.60x = 10,652,853.50
  5. Step 5: Solve for x
    x = 10,652,853.50/4,501.60
  6. Step 6: Final answer
    x = 2,366.46

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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.