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Finding the Fourth Proportional to 5,748.48, 7,931.79 and 3,389.94

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Solution

The fourth proportional to 5,748.48, 7,931.79 and 3,389.94 is: 4,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.48 : 7,931.79 = 3,389.94 : x
  2. Step 2: Convert to fraction form
    5,748.48/7,931.79 = 3,389.94/x
  3. Step 3: Cross multiply
    5,748.48x = 7,931.79 × 3,389.94
  4. Step 4: Simplify right side
    5,748.48x = 26,888,292.19
  5. Step 5: Solve for x
    x = 26,888,292.19/5,748.48
  6. Step 6: Final answer
    x = 4,677.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.