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Finding the Fourth Proportional to 5,854.67, 8,782.01 and 1,472.09

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Solution

The fourth proportional to 5,854.67, 8,782.01 and 1,472.09 is: 2,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.67 : 8,782.01 = 1,472.09 : x
  2. Step 2: Convert to fraction form
    5,854.67/8,782.01 = 1,472.09/x
  3. Step 3: Cross multiply
    5,854.67x = 8,782.01 × 1,472.09
  4. Step 4: Simplify right side
    5,854.67x = 12,927,857.83
  5. Step 5: Solve for x
    x = 12,927,857.83/5,854.67
  6. Step 6: Final answer
    x = 2,208.13

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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.