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Finding the Fourth Proportional to 4,847.71, 7,271.16 and 1,925.23

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Solution

The fourth proportional to 4,847.71, 7,271.16 and 1,925.23 is: 2,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.71 : 7,271.16 = 1,925.23 : x
  2. Step 2: Convert to fraction form
    4,847.71/7,271.16 = 1,925.23/x
  3. Step 3: Cross multiply
    4,847.71x = 7,271.16 × 1,925.23
  4. Step 4: Simplify right side
    4,847.71x = 13,998,655.37
  5. Step 5: Solve for x
    x = 13,998,655.37/4,847.71
  6. Step 6: Final answer
    x = 2,887.68

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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.