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Finding the Fourth Proportional to 5,416.33, 7,457.87 and 4,617.87

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Solution

The fourth proportional to 5,416.33, 7,457.87 and 4,617.87 is: 6,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.33 : 7,457.87 = 4,617.87 : x
  2. Step 2: Convert to fraction form
    5,416.33/7,457.87 = 4,617.87/x
  3. Step 3: Cross multiply
    5,416.33x = 7,457.87 × 4,617.87
  4. Step 4: Simplify right side
    5,416.33x = 34,439,474.14
  5. Step 5: Solve for x
    x = 34,439,474.14/5,416.33
  6. Step 6: Final answer
    x = 6,358.45

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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.