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Finding the Fourth Proportional to 5,689.35, 7,845.32 and 4,492.35

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Solution

The fourth proportional to 5,689.35, 7,845.32 and 4,492.35 is: 6,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.35 : 7,845.32 = 4,492.35 : x
  2. Step 2: Convert to fraction form
    5,689.35/7,845.32 = 4,492.35/x
  3. Step 3: Cross multiply
    5,689.35x = 7,845.32 × 4,492.35
  4. Step 4: Simplify right side
    5,689.35x = 35,243,934.53
  5. Step 5: Solve for x
    x = 35,243,934.53/5,689.35
  6. Step 6: Final answer
    x = 6,194.72

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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.