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Finding the Fourth Proportional to 3,594.86, 5,386.67 and 2,275.82

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Solution

The fourth proportional to 3,594.86, 5,386.67 and 2,275.82 is: 3,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.86 : 5,386.67 = 2,275.82 : x
  2. Step 2: Convert to fraction form
    3,594.86/5,386.67 = 2,275.82/x
  3. Step 3: Cross multiply
    3,594.86x = 5,386.67 × 2,275.82
  4. Step 4: Simplify right side
    3,594.86x = 12,259,070.08
  5. Step 5: Solve for x
    x = 12,259,070.08/3,594.86
  6. Step 6: Final answer
    x = 3,410.17

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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.