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Finding the Fourth Proportional to 4,806.76, 7,209.51 and 1,887.13

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Solution

The fourth proportional to 4,806.76, 7,209.51 and 1,887.13 is: 2,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.76 : 7,209.51 = 1,887.13 : x
  2. Step 2: Convert to fraction form
    4,806.76/7,209.51 = 1,887.13/x
  3. Step 3: Cross multiply
    4,806.76x = 7,209.51 × 1,887.13
  4. Step 4: Simplify right side
    4,806.76x = 13,605,282.61
  5. Step 5: Solve for x
    x = 13,605,282.61/4,806.76
  6. Step 6: Final answer
    x = 2,830.45

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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.