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Finding the Fourth Proportional to 4,670.87, 6,443.55 and 3,409.83

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Solution

The fourth proportional to 4,670.87, 6,443.55 and 3,409.83 is: 4,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.87 : 6,443.55 = 3,409.83 : x
  2. Step 2: Convert to fraction form
    4,670.87/6,443.55 = 3,409.83/x
  3. Step 3: Cross multiply
    4,670.87x = 6,443.55 × 3,409.83
  4. Step 4: Simplify right side
    4,670.87x = 21,971,410.10
  5. Step 5: Solve for x
    x = 21,971,410.10/4,670.87
  6. Step 6: Final answer
    x = 4,703.93

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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.