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Finding the Fourth Proportional to 3,499.09, 5,248.60 and 1,418.60

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Solution

The fourth proportional to 3,499.09, 5,248.60 and 1,418.60 is: 2,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.09 : 5,248.60 = 1,418.60 : x
  2. Step 2: Convert to fraction form
    3,499.09/5,248.60 = 1,418.60/x
  3. Step 3: Cross multiply
    3,499.09x = 5,248.60 × 1,418.60
  4. Step 4: Simplify right side
    3,499.09x = 7,445,681.51
  5. Step 5: Solve for x
    x = 7,445,681.51/3,499.09
  6. Step 6: Final answer
    x = 2,127.89

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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.