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Finding the Fourth Proportional to 4,057.16, 6,085.78 and 1,283.78

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Solution

The fourth proportional to 4,057.16, 6,085.78 and 1,283.78 is: 1,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.16 : 6,085.78 = 1,283.78 : x
  2. Step 2: Convert to fraction form
    4,057.16/6,085.78 = 1,283.78/x
  3. Step 3: Cross multiply
    4,057.16x = 6,085.78 × 1,283.78
  4. Step 4: Simplify right side
    4,057.16x = 7,812,802.65
  5. Step 5: Solve for x
    x = 7,812,802.65/4,057.16
  6. Step 6: Final answer
    x = 1,925.68

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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.