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Finding the Fourth Proportional to 3,492.50, 4,813.47 and 3,085.17

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Solution

The fourth proportional to 3,492.50, 4,813.47 and 3,085.17 is: 4,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.50 : 4,813.47 = 3,085.17 : x
  2. Step 2: Convert to fraction form
    3,492.50/4,813.47 = 3,085.17/x
  3. Step 3: Cross multiply
    3,492.50x = 4,813.47 × 3,085.17
  4. Step 4: Simplify right side
    3,492.50x = 14,850,373.24
  5. Step 5: Solve for x
    x = 14,850,373.24/3,492.50
  6. Step 6: Final answer
    x = 4,252.08

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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.