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Finding the Fourth Proportional to 5,646.80, 8,460.68 and 4,329.16

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Solution

The fourth proportional to 5,646.80, 8,460.68 and 4,329.16 is: 6,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.80 : 8,460.68 = 4,329.16 : x
  2. Step 2: Convert to fraction form
    5,646.80/8,460.68 = 4,329.16/x
  3. Step 3: Cross multiply
    5,646.80x = 8,460.68 × 4,329.16
  4. Step 4: Simplify right side
    5,646.80x = 36,627,637.43
  5. Step 5: Solve for x
    x = 36,627,637.43/5,646.80
  6. Step 6: Final answer
    x = 6,486.44

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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.