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Finding the Fourth Proportional to 4,838.48, 6,677.04 and 2,849.12

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Solution

The fourth proportional to 4,838.48, 6,677.04 and 2,849.12 is: 3,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.48 : 6,677.04 = 2,849.12 : x
  2. Step 2: Convert to fraction form
    4,838.48/6,677.04 = 2,849.12/x
  3. Step 3: Cross multiply
    4,838.48x = 6,677.04 × 2,849.12
  4. Step 4: Simplify right side
    4,838.48x = 19,023,688.20
  5. Step 5: Solve for x
    x = 19,023,688.20/4,838.48
  6. Step 6: Final answer
    x = 3,931.75

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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.