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Finding the Fourth Proportional to 3,856.76, 5,794.65 and 2,470.70

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Solution

The fourth proportional to 3,856.76, 5,794.65 and 2,470.70 is: 3,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.76 : 5,794.65 = 2,470.70 : x
  2. Step 2: Convert to fraction form
    3,856.76/5,794.65 = 2,470.70/x
  3. Step 3: Cross multiply
    3,856.76x = 5,794.65 × 2,470.70
  4. Step 4: Simplify right side
    3,856.76x = 14,316,812.78
  5. Step 5: Solve for x
    x = 14,316,812.78/3,856.76
  6. Step 6: Final answer
    x = 3,712.14

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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.