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Finding the Fourth Proportional to 5,291.84, 7,938.57 and 1,593.58

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Solution

The fourth proportional to 5,291.84, 7,938.57 and 1,593.58 is: 2,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.84 : 7,938.57 = 1,593.58 : x
  2. Step 2: Convert to fraction form
    5,291.84/7,938.57 = 1,593.58/x
  3. Step 3: Cross multiply
    5,291.84x = 7,938.57 × 1,593.58
  4. Step 4: Simplify right side
    5,291.84x = 12,650,746.38
  5. Step 5: Solve for x
    x = 12,650,746.38/5,291.84
  6. Step 6: Final answer
    x = 2,390.61

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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.