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Finding the Fourth Proportional to 5,284.66, 7,925.28 and 1,586.20

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Solution

The fourth proportional to 5,284.66, 7,925.28 and 1,586.20 is: 2,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.66 : 7,925.28 = 1,586.20 : x
  2. Step 2: Convert to fraction form
    5,284.66/7,925.28 = 1,586.20/x
  3. Step 3: Cross multiply
    5,284.66x = 7,925.28 × 1,586.20
  4. Step 4: Simplify right side
    5,284.66x = 12,571,079.14
  5. Step 5: Solve for x
    x = 12,571,079.14/5,284.66
  6. Step 6: Final answer
    x = 2,378.79

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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.