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Finding the Fourth Proportional to 5,259.17, 7,259.96 and 3,492.29

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Solution

The fourth proportional to 5,259.17, 7,259.96 and 3,492.29 is: 4,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.17 : 7,259.96 = 3,492.29 : x
  2. Step 2: Convert to fraction form
    5,259.17/7,259.96 = 3,492.29/x
  3. Step 3: Cross multiply
    5,259.17x = 7,259.96 × 3,492.29
  4. Step 4: Simplify right side
    5,259.17x = 25,353,885.71
  5. Step 5: Solve for x
    x = 25,353,885.71/5,259.17
  6. Step 6: Final answer
    x = 4,820.89

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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.