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Finding the Fourth Proportional to 3,057.06, 4,586.20 and 977.00

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Solution

The fourth proportional to 3,057.06, 4,586.20 and 977.00 is: 1,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.06 : 4,586.20 = 977.00 : x
  2. Step 2: Convert to fraction form
    3,057.06/4,586.20 = 977.00/x
  3. Step 3: Cross multiply
    3,057.06x = 4,586.20 × 977.00
  4. Step 4: Simplify right side
    3,057.06x = 4,480,692.03
  5. Step 5: Solve for x
    x = 4,480,692.03/3,057.06
  6. Step 6: Final answer
    x = 1,465.69

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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.