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Finding the Fourth Proportional to 4,809.96, 7,210.80 and 1,887.57

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Solution

The fourth proportional to 4,809.96, 7,210.80 and 1,887.57 is: 2,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.96 : 7,210.80 = 1,887.57 : x
  2. Step 2: Convert to fraction form
    4,809.96/7,210.80 = 1,887.57/x
  3. Step 3: Cross multiply
    4,809.96x = 7,210.80 × 1,887.57
  4. Step 4: Simplify right side
    4,809.96x = 13,610,889.76
  5. Step 5: Solve for x
    x = 13,610,889.76/4,809.96
  6. Step 6: Final answer
    x = 2,829.73

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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.