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Finding the Fourth Proportional to 4,690.12, 6,477.21 and 4,057.61

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Solution

The fourth proportional to 4,690.12, 6,477.21 and 4,057.61 is: 5,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.12 : 6,477.21 = 4,057.61 : x
  2. Step 2: Convert to fraction form
    4,690.12/6,477.21 = 4,057.61/x
  3. Step 3: Cross multiply
    4,690.12x = 6,477.21 × 4,057.61
  4. Step 4: Simplify right side
    4,690.12x = 26,281,939.39
  5. Step 5: Solve for x
    x = 26,281,939.39/4,690.12
  6. Step 6: Final answer
    x = 5,603.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.