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Finding the Fourth Proportional to 5,192.64, 7,784.64 and 4,043.52

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Solution

The fourth proportional to 5,192.64, 7,784.64 and 4,043.52 is: 6,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.64 : 7,784.64 = 4,043.52 : x
  2. Step 2: Convert to fraction form
    5,192.64/7,784.64 = 4,043.52/x
  3. Step 3: Cross multiply
    5,192.64x = 7,784.64 × 4,043.52
  4. Step 4: Simplify right side
    5,192.64x = 31,477,347.53
  5. Step 5: Solve for x
    x = 31,477,347.53/5,192.64
  6. Step 6: Final answer
    x = 6,061.92

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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.