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Finding the Fourth Proportional to 4,838.48, 7,258.80 and 1,376

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Solution

The fourth proportional to 4,838.48, 7,258.80 and 1,376 is: 2,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.48 : 7,258.80 = 1,376 : x
  2. Step 2: Convert to fraction form
    4,838.48/7,258.80 = 1,376/x
  3. Step 3: Cross multiply
    4,838.48x = 7,258.80 × 1,376
  4. Step 4: Simplify right side
    4,838.48x = 9,988,108.80
  5. Step 5: Solve for x
    x = 9,988,108.80/4,838.48
  6. Step 6: Final answer
    x = 2,064.31

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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.