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Finding the Fourth Proportional to 5,104.83, 7,657.02 and 1,407.06

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Solution

The fourth proportional to 5,104.83, 7,657.02 and 1,407.06 is: 2,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.83 : 7,657.02 = 1,407.06 : x
  2. Step 2: Convert to fraction form
    5,104.83/7,657.02 = 1,407.06/x
  3. Step 3: Cross multiply
    5,104.83x = 7,657.02 × 1,407.06
  4. Step 4: Simplify right side
    5,104.83x = 10,773,886.56
  5. Step 5: Solve for x
    x = 10,773,886.56/5,104.83
  6. Step 6: Final answer
    x = 2,110.53

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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.