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Finding the Fourth Proportional to 5,130.64, 7,078.29 and 2,892.00

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Solution

The fourth proportional to 5,130.64, 7,078.29 and 2,892.00 is: 3,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.64 : 7,078.29 = 2,892.00 : x
  2. Step 2: Convert to fraction form
    5,130.64/7,078.29 = 2,892.00/x
  3. Step 3: Cross multiply
    5,130.64x = 7,078.29 × 2,892.00
  4. Step 4: Simplify right side
    5,130.64x = 20,470,430.38
  5. Step 5: Solve for x
    x = 20,470,430.38/5,130.64
  6. Step 6: Final answer
    x = 3,989.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.