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Finding the Fourth Proportional to 3,655.28, 5,484.54 and 1,923.50

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Solution

The fourth proportional to 3,655.28, 5,484.54 and 1,923.50 is: 2,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.28 : 5,484.54 = 1,923.50 : x
  2. Step 2: Convert to fraction form
    3,655.28/5,484.54 = 1,923.50/x
  3. Step 3: Cross multiply
    3,655.28x = 5,484.54 × 1,923.50
  4. Step 4: Simplify right side
    3,655.28x = 10,549,512.69
  5. Step 5: Solve for x
    x = 10,549,512.69/3,655.28
  6. Step 6: Final answer
    x = 2,886.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.