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Finding the Fourth Proportional to 5,098.19, 7,646.09 and 1,400.72

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Solution

The fourth proportional to 5,098.19, 7,646.09 and 1,400.72 is: 2,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.19 : 7,646.09 = 1,400.72 : x
  2. Step 2: Convert to fraction form
    5,098.19/7,646.09 = 1,400.72/x
  3. Step 3: Cross multiply
    5,098.19x = 7,646.09 × 1,400.72
  4. Step 4: Simplify right side
    5,098.19x = 10,709,985.95
  5. Step 5: Solve for x
    x = 10,709,985.95/5,098.19
  6. Step 6: Final answer
    x = 2,100.74

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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.