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Finding the Fourth Proportional to 5,097.95, 7,646.96 and 1,400.57

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Solution

The fourth proportional to 5,097.95, 7,646.96 and 1,400.57 is: 2,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.95 : 7,646.96 = 1,400.57 : x
  2. Step 2: Convert to fraction form
    5,097.95/7,646.96 = 1,400.57/x
  3. Step 3: Cross multiply
    5,097.95x = 7,646.96 × 1,400.57
  4. Step 4: Simplify right side
    5,097.95x = 10,710,102.77
  5. Step 5: Solve for x
    x = 10,710,102.77/5,097.95
  6. Step 6: Final answer
    x = 2,100.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.