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Finding the Fourth Proportional to 4,776.47, 7,164.65 and 1,856.82

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Solution

The fourth proportional to 4,776.47, 7,164.65 and 1,856.82 is: 2,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.47 : 7,164.65 = 1,856.82 : x
  2. Step 2: Convert to fraction form
    4,776.47/7,164.65 = 1,856.82/x
  3. Step 3: Cross multiply
    4,776.47x = 7,164.65 × 1,856.82
  4. Step 4: Simplify right side
    4,776.47x = 13,303,496.92
  5. Step 5: Solve for x
    x = 13,303,496.92/4,776.47
  6. Step 6: Final answer
    x = 2,785.22

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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.