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Finding the Fourth Proportional to 4,095.56, 6,144.02 and 1,284.57

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Solution

The fourth proportional to 4,095.56, 6,144.02 and 1,284.57 is: 1,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.56 : 6,144.02 = 1,284.57 : x
  2. Step 2: Convert to fraction form
    4,095.56/6,144.02 = 1,284.57/x
  3. Step 3: Cross multiply
    4,095.56x = 6,144.02 × 1,284.57
  4. Step 4: Simplify right side
    4,095.56x = 7,892,417.35
  5. Step 5: Solve for x
    x = 7,892,417.35/4,095.56
  6. Step 6: Final answer
    x = 1,927.07

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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.