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Finding the Fourth Proportional to 5,686.90, 8,530.35 and 2,912.65

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Solution

The fourth proportional to 5,686.90, 8,530.35 and 2,912.65 is: 4,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.90 : 8,530.35 = 2,912.65 : x
  2. Step 2: Convert to fraction form
    5,686.90/8,530.35 = 2,912.65/x
  3. Step 3: Cross multiply
    5,686.90x = 8,530.35 × 2,912.65
  4. Step 4: Simplify right side
    5,686.90x = 24,845,923.93
  5. Step 5: Solve for x
    x = 24,845,923.93/5,686.90
  6. Step 6: Final answer
    x = 4,368.98

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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.