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Finding the Fourth Proportional to 5,038.64, 6,951.33 and 2,913.78

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Solution

The fourth proportional to 5,038.64, 6,951.33 and 2,913.78 is: 4,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.64 : 6,951.33 = 2,913.78 : x
  2. Step 2: Convert to fraction form
    5,038.64/6,951.33 = 2,913.78/x
  3. Step 3: Cross multiply
    5,038.64x = 6,951.33 × 2,913.78
  4. Step 4: Simplify right side
    5,038.64x = 20,254,646.33
  5. Step 5: Solve for x
    x = 20,254,646.33/5,038.64
  6. Step 6: Final answer
    x = 4,019.86

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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.