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Finding the Fourth Proportional to 5,492.40, 8,238.59 and 4,256.13

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Solution

The fourth proportional to 5,492.40, 8,238.59 and 4,256.13 is: 6,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.40 : 8,238.59 = 4,256.13 : x
  2. Step 2: Convert to fraction form
    5,492.40/8,238.59 = 4,256.13/x
  3. Step 3: Cross multiply
    5,492.40x = 8,238.59 × 4,256.13
  4. Step 4: Simplify right side
    5,492.40x = 35,064,510.06
  5. Step 5: Solve for x
    x = 35,064,510.06/5,492.40
  6. Step 6: Final answer
    x = 6,384.19

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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.