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Finding the Fourth Proportional to 5,289.28, 7,298.86 and 2,931.64

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Solution

The fourth proportional to 5,289.28, 7,298.86 and 2,931.64 is: 4,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.28 : 7,298.86 = 2,931.64 : x
  2. Step 2: Convert to fraction form
    5,289.28/7,298.86 = 2,931.64/x
  3. Step 3: Cross multiply
    5,289.28x = 7,298.86 × 2,931.64
  4. Step 4: Simplify right side
    5,289.28x = 21,397,629.93
  5. Step 5: Solve for x
    x = 21,397,629.93/5,289.28
  6. Step 6: Final answer
    x = 4,045.47

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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.