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Finding the Fourth Proportional to 5,409.59, 7,457.06 and 4,228.61

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Solution

The fourth proportional to 5,409.59, 7,457.06 and 4,228.61 is: 5,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.59 : 7,457.06 = 4,228.61 : x
  2. Step 2: Convert to fraction form
    5,409.59/7,457.06 = 4,228.61/x
  3. Step 3: Cross multiply
    5,409.59x = 7,457.06 × 4,228.61
  4. Step 4: Simplify right side
    5,409.59x = 31,532,971.77
  5. Step 5: Solve for x
    x = 31,532,971.77/5,409.59
  6. Step 6: Final answer
    x = 5,829.09

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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.