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Finding the Fourth Proportional to 4,970.92, 7,457.29 and 2,047.63

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Solution

The fourth proportional to 4,970.92, 7,457.29 and 2,047.63 is: 3,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.92 : 7,457.29 = 2,047.63 : x
  2. Step 2: Convert to fraction form
    4,970.92/7,457.29 = 2,047.63/x
  3. Step 3: Cross multiply
    4,970.92x = 7,457.29 × 2,047.63
  4. Step 4: Simplify right side
    4,970.92x = 15,269,746.96
  5. Step 5: Solve for x
    x = 15,269,746.96/4,970.92
  6. Step 6: Final answer
    x = 3,071.82

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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.