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Finding the Fourth Proportional to 5,038.53, 6,955.65 and 3,864.84

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Solution

The fourth proportional to 5,038.53, 6,955.65 and 3,864.84 is: 5,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.53 : 6,955.65 = 3,864.84 : x
  2. Step 2: Convert to fraction form
    5,038.53/6,955.65 = 3,864.84/x
  3. Step 3: Cross multiply
    5,038.53x = 6,955.65 × 3,864.84
  4. Step 4: Simplify right side
    5,038.53x = 26,882,474.35
  5. Step 5: Solve for x
    x = 26,882,474.35/5,038.53
  6. Step 6: Final answer
    x = 5,335.38

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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.