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Finding the Fourth Proportional to 4,970.96, 7,457.46 and 1,683.96

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Solution

The fourth proportional to 4,970.96, 7,457.46 and 1,683.96 is: 2,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.96 : 7,457.46 = 1,683.96 : x
  2. Step 2: Convert to fraction form
    4,970.96/7,457.46 = 1,683.96/x
  3. Step 3: Cross multiply
    4,970.96x = 7,457.46 × 1,683.96
  4. Step 4: Simplify right side
    4,970.96x = 12,558,064.34
  5. Step 5: Solve for x
    x = 12,558,064.34/4,970.96
  6. Step 6: Final answer
    x = 2,526.29

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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.