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Finding the Fourth Proportional to 3,492.67, 5,239.06 and 860.18

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Solution

The fourth proportional to 3,492.67, 5,239.06 and 860.18 is: 1,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.67 : 5,239.06 = 860.18 : x
  2. Step 2: Convert to fraction form
    3,492.67/5,239.06 = 860.18/x
  3. Step 3: Cross multiply
    3,492.67x = 5,239.06 × 860.18
  4. Step 4: Simplify right side
    3,492.67x = 4,506,534.63
  5. Step 5: Solve for x
    x = 4,506,534.63/3,492.67
  6. Step 6: Final answer
    x = 1,290.28

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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.