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Finding the Fourth Proportional to 5,247.88, 7,870.20 and 2,328.64

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Solution

The fourth proportional to 5,247.88, 7,870.20 and 2,328.64 is: 3,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.88 : 7,870.20 = 2,328.64 : x
  2. Step 2: Convert to fraction form
    5,247.88/7,870.20 = 2,328.64/x
  3. Step 3: Cross multiply
    5,247.88x = 7,870.20 × 2,328.64
  4. Step 4: Simplify right side
    5,247.88x = 18,326,862.53
  5. Step 5: Solve for x
    x = 18,326,862.53/5,247.88
  6. Step 6: Final answer
    x = 3,492.24

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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.