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Finding the Fourth Proportional to 5,094.64, 7,029.99 and 2,970.64

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Solution

The fourth proportional to 5,094.64, 7,029.99 and 2,970.64 is: 4,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.64 : 7,029.99 = 2,970.64 : x
  2. Step 2: Convert to fraction form
    5,094.64/7,029.99 = 2,970.64/x
  3. Step 3: Cross multiply
    5,094.64x = 7,029.99 × 2,970.64
  4. Step 4: Simplify right side
    5,094.64x = 20,883,569.49
  5. Step 5: Solve for x
    x = 20,883,569.49/5,094.64
  6. Step 6: Final answer
    x = 4,099.13

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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.