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Finding the Fourth Proportional to 5,283.66, 7,925.48 and 2,165.12

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Solution

The fourth proportional to 5,283.66, 7,925.48 and 2,165.12 is: 3,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.66 : 7,925.48 = 2,165.12 : x
  2. Step 2: Convert to fraction form
    5,283.66/7,925.48 = 2,165.12/x
  3. Step 3: Cross multiply
    5,283.66x = 7,925.48 × 2,165.12
  4. Step 4: Simplify right side
    5,283.66x = 17,159,615.26
  5. Step 5: Solve for x
    x = 17,159,615.26/5,283.66
  6. Step 6: Final answer
    x = 3,247.68

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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.