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Finding the Fourth Proportional to 5,038.84, 6,952.53 and 2,942.02

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Solution

The fourth proportional to 5,038.84, 6,952.53 and 2,942.02 is: 4,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.84 : 6,952.53 = 2,942.02 : x
  2. Step 2: Convert to fraction form
    5,038.84/6,952.53 = 2,942.02/x
  3. Step 3: Cross multiply
    5,038.84x = 6,952.53 × 2,942.02
  4. Step 4: Simplify right side
    5,038.84x = 20,454,482.31
  5. Step 5: Solve for x
    x = 20,454,482.31/5,038.84
  6. Step 6: Final answer
    x = 4,059.36

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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.