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Finding the Fourth Proportional to 4,970.93, 7,457.30 and 2,047.64

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Solution

The fourth proportional to 4,970.93, 7,457.30 and 2,047.64 is: 3,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.93 : 7,457.30 = 2,047.64 : x
  2. Step 2: Convert to fraction form
    4,970.93/7,457.30 = 2,047.64/x
  3. Step 3: Cross multiply
    4,970.93x = 7,457.30 × 2,047.64
  4. Step 4: Simplify right side
    4,970.93x = 15,269,818.25
  5. Step 5: Solve for x
    x = 15,269,818.25/4,970.93
  6. Step 6: Final answer
    x = 3,071.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.