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Finding the Fourth Proportional to 3,657.60, 5,484.64 and 1,925.76

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Solution

The fourth proportional to 3,657.60, 5,484.64 and 1,925.76 is: 2,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.60 : 5,484.64 = 1,925.76 : x
  2. Step 2: Convert to fraction form
    3,657.60/5,484.64 = 1,925.76/x
  3. Step 3: Cross multiply
    3,657.60x = 5,484.64 × 1,925.76
  4. Step 4: Simplify right side
    3,657.60x = 10,562,100.33
  5. Step 5: Solve for x
    x = 10,562,100.33/3,657.60
  6. Step 6: Final answer
    x = 2,887.71

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1.5x scale

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.