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Finding the Fourth Proportional to 4,570.65, 6,855.93 and 1,284.66

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Solution

The fourth proportional to 4,570.65, 6,855.93 and 1,284.66 is: 1,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.65 : 6,855.93 = 1,284.66 : x
  2. Step 2: Convert to fraction form
    4,570.65/6,855.93 = 1,284.66/x
  3. Step 3: Cross multiply
    4,570.65x = 6,855.93 × 1,284.66
  4. Step 4: Simplify right side
    4,570.65x = 8,807,539.03
  5. Step 5: Solve for x
    x = 8,807,539.03/4,570.65
  6. Step 6: Final answer
    x = 1,926.98

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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.