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Finding the Fourth Proportional to 4,490.16, 6,739.14 and 1,859.16

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Solution

The fourth proportional to 4,490.16, 6,739.14 and 1,859.16 is: 2,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.16 : 6,739.14 = 1,859.16 : x
  2. Step 2: Convert to fraction form
    4,490.16/6,739.14 = 1,859.16/x
  3. Step 3: Cross multiply
    4,490.16x = 6,739.14 × 1,859.16
  4. Step 4: Simplify right side
    4,490.16x = 12,529,139.52
  5. Step 5: Solve for x
    x = 12,529,139.52/4,490.16
  6. Step 6: Final answer
    x = 2,790.35

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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.