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Finding the Fourth Proportional to 5,784.88, 7,953.56 and 4,709.20

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Solution

The fourth proportional to 5,784.88, 7,953.56 and 4,709.20 is: 6,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.88 : 7,953.56 = 4,709.20 : x
  2. Step 2: Convert to fraction form
    5,784.88/7,953.56 = 4,709.20/x
  3. Step 3: Cross multiply
    5,784.88x = 7,953.56 × 4,709.20
  4. Step 4: Simplify right side
    5,784.88x = 37,454,904.75
  5. Step 5: Solve for x
    x = 37,454,904.75/5,784.88
  6. Step 6: Final answer
    x = 6,474.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.