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Finding the Fourth Proportional to 3,652.01, 5,480.66 and 1,461.35

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Solution

The fourth proportional to 3,652.01, 5,480.66 and 1,461.35 is: 2,193.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.01 : 5,480.66 = 1,461.35 : x
  2. Step 2: Convert to fraction form
    3,652.01/5,480.66 = 1,461.35/x
  3. Step 3: Cross multiply
    3,652.01x = 5,480.66 × 1,461.35
  4. Step 4: Simplify right side
    3,652.01x = 8,009,155.18
  5. Step 5: Solve for x
    x = 8,009,155.18/3,652.01
  6. Step 6: Final answer
    x = 2,193.08

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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.