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Finding the Fourth Proportional to 4,806.40, 7,209.59 and 1,886.08

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Solution

The fourth proportional to 4,806.40, 7,209.59 and 1,886.08 is: 2,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.40 : 7,209.59 = 1,886.08 : x
  2. Step 2: Convert to fraction form
    4,806.40/7,209.59 = 1,886.08/x
  3. Step 3: Cross multiply
    4,806.40x = 7,209.59 × 1,886.08
  4. Step 4: Simplify right side
    4,806.40x = 13,597,832.17
  5. Step 5: Solve for x
    x = 13,597,832.17/4,806.40
  6. Step 6: Final answer
    x = 2,829.11

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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.