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Finding the Fourth Proportional to 5,098.01, 7,645.54 and 1,400.36

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Solution

The fourth proportional to 5,098.01, 7,645.54 and 1,400.36 is: 2,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.01 : 7,645.54 = 1,400.36 : x
  2. Step 2: Convert to fraction form
    5,098.01/7,645.54 = 1,400.36/x
  3. Step 3: Cross multiply
    5,098.01x = 7,645.54 × 1,400.36
  4. Step 4: Simplify right side
    5,098.01x = 10,706,486.25
  5. Step 5: Solve for x
    x = 10,706,486.25/5,098.01
  6. Step 6: Final answer
    x = 2,100.13

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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.