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Finding the Fourth Proportional to 4,971.46, 6,856.05 and 3,848.80

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Solution

The fourth proportional to 4,971.46, 6,856.05 and 3,848.80 is: 5,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.46 : 6,856.05 = 3,848.80 : x
  2. Step 2: Convert to fraction form
    4,971.46/6,856.05 = 3,848.80/x
  3. Step 3: Cross multiply
    4,971.46x = 6,856.05 × 3,848.80
  4. Step 4: Simplify right side
    4,971.46x = 26,387,565.24
  5. Step 5: Solve for x
    x = 26,387,565.24/4,971.46
  6. Step 6: Final answer
    x = 5,307.81

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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.