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Finding the Fourth Proportional to 5,595.86, 8,392.62 and 1,646.06

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Solution

The fourth proportional to 5,595.86, 8,392.62 and 1,646.06 is: 2,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.86 : 8,392.62 = 1,646.06 : x
  2. Step 2: Convert to fraction form
    5,595.86/8,392.62 = 1,646.06/x
  3. Step 3: Cross multiply
    5,595.86x = 8,392.62 × 1,646.06
  4. Step 4: Simplify right side
    5,595.86x = 13,814,756.08
  5. Step 5: Solve for x
    x = 13,814,756.08/5,595.86
  6. Step 6: Final answer
    x = 2,468.75

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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.