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Finding the Fourth Proportional to 3,210.16, 4,812.16 and 1,017.38

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Solution

The fourth proportional to 3,210.16, 4,812.16 and 1,017.38 is: 1,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.16 : 4,812.16 = 1,017.38 : x
  2. Step 2: Convert to fraction form
    3,210.16/4,812.16 = 1,017.38/x
  3. Step 3: Cross multiply
    3,210.16x = 4,812.16 × 1,017.38
  4. Step 4: Simplify right side
    3,210.16x = 4,895,795.34
  5. Step 5: Solve for x
    x = 4,895,795.34/3,210.16
  6. Step 6: Final answer
    x = 1,525.09

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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.