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Finding the Fourth Proportional to 5,291.19, 7,938.41 and 1,830.87

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Solution

The fourth proportional to 5,291.19, 7,938.41 and 1,830.87 is: 2,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.19 : 7,938.41 = 1,830.87 : x
  2. Step 2: Convert to fraction form
    5,291.19/7,938.41 = 1,830.87/x
  3. Step 3: Cross multiply
    5,291.19x = 7,938.41 × 1,830.87
  4. Step 4: Simplify right side
    5,291.19x = 14,534,187.56
  5. Step 5: Solve for x
    x = 14,534,187.56/5,291.19
  6. Step 6: Final answer
    x = 2,746.87

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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.