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Finding the Fourth Proportional to 3,656.46, 5,484.80 and 1,435.20

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Solution

The fourth proportional to 3,656.46, 5,484.80 and 1,435.20 is: 2,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.46 : 5,484.80 = 1,435.20 : x
  2. Step 2: Convert to fraction form
    3,656.46/5,484.80 = 1,435.20/x
  3. Step 3: Cross multiply
    3,656.46x = 5,484.80 × 1,435.20
  4. Step 4: Simplify right side
    3,656.46x = 7,871,784.96
  5. Step 5: Solve for x
    x = 7,871,784.96/3,656.46
  6. Step 6: Final answer
    x = 2,152.84

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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.