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Finding the Fourth Proportional to 3,415.46, 4,710.87 and 2,409.23

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Solution

The fourth proportional to 3,415.46, 4,710.87 and 2,409.23 is: 3,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.46 : 4,710.87 = 2,409.23 : x
  2. Step 2: Convert to fraction form
    3,415.46/4,710.87 = 2,409.23/x
  3. Step 3: Cross multiply
    3,415.46x = 4,710.87 × 2,409.23
  4. Step 4: Simplify right side
    3,415.46x = 11,349,545.78
  5. Step 5: Solve for x
    x = 11,349,545.78/3,415.46
  6. Step 6: Final answer
    x = 3,323.00

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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.