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Finding the Fourth Proportional to 5,492.71, 8,235.15 and 2,569.42

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Solution

The fourth proportional to 5,492.71, 8,235.15 and 2,569.42 is: 3,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.71 : 8,235.15 = 2,569.42 : x
  2. Step 2: Convert to fraction form
    5,492.71/8,235.15 = 2,569.42/x
  3. Step 3: Cross multiply
    5,492.71x = 8,235.15 × 2,569.42
  4. Step 4: Simplify right side
    5,492.71x = 21,159,559.77
  5. Step 5: Solve for x
    x = 21,159,559.77/5,492.71
  6. Step 6: Final answer
    x = 3,852.30

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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.