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Finding the Fourth Proportional to 5,613.84, 8,417.16 and 2,329.20

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Solution

The fourth proportional to 5,613.84, 8,417.16 and 2,329.20 is: 3,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.84 : 8,417.16 = 2,329.20 : x
  2. Step 2: Convert to fraction form
    5,613.84/8,417.16 = 2,329.20/x
  3. Step 3: Cross multiply
    5,613.84x = 8,417.16 × 2,329.20
  4. Step 4: Simplify right side
    5,613.84x = 19,605,249.07
  5. Step 5: Solve for x
    x = 19,605,249.07/5,613.84
  6. Step 6: Final answer
    x = 3,492.31

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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.