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Finding the Fourth Proportional to 4,970.95, 7,457.34 and 2,047.66

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Solution

The fourth proportional to 4,970.95, 7,457.34 and 2,047.66 is: 3,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.95 : 7,457.34 = 2,047.66 : x
  2. Step 2: Convert to fraction form
    4,970.95/7,457.34 = 2,047.66/x
  3. Step 3: Cross multiply
    4,970.95x = 7,457.34 × 2,047.66
  4. Step 4: Simplify right side
    4,970.95x = 15,270,096.82
  5. Step 5: Solve for x
    x = 15,270,096.82/4,970.95
  6. Step 6: Final answer
    x = 3,071.87

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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.