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Finding the Fourth Proportional to 5,098.10, 7,646.76 and 1,400.00

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Solution

The fourth proportional to 5,098.10, 7,646.76 and 1,400.00 is: 2,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.10 : 7,646.76 = 1,400.00 : x
  2. Step 2: Convert to fraction form
    5,098.10/7,646.76 = 1,400.00/x
  3. Step 3: Cross multiply
    5,098.10x = 7,646.76 × 1,400.00
  4. Step 4: Simplify right side
    5,098.10x = 10,705,425.77
  5. Step 5: Solve for x
    x = 10,705,425.77/5,098.10
  6. Step 6: Final answer
    x = 2,099.89

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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.