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Finding the Fourth Proportional to 4,838.72, 7,259.40 and 1,376

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Solution

The fourth proportional to 4,838.72, 7,259.40 and 1,376 is: 2,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.72 : 7,259.40 = 1,376 : x
  2. Step 2: Convert to fraction form
    4,838.72/7,259.40 = 1,376/x
  3. Step 3: Cross multiply
    4,838.72x = 7,259.40 × 1,376
  4. Step 4: Simplify right side
    4,838.72x = 9,988,934.40
  5. Step 5: Solve for x
    x = 9,988,934.40/4,838.72
  6. Step 6: Final answer
    x = 2,064.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.