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Finding the Fourth Proportional to 5,670.47, 7,824.11 and 3,312.16

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Solution

The fourth proportional to 5,670.47, 7,824.11 and 3,312.16 is: 4,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.47 : 7,824.11 = 3,312.16 : x
  2. Step 2: Convert to fraction form
    5,670.47/7,824.11 = 3,312.16/x
  3. Step 3: Cross multiply
    5,670.47x = 7,824.11 × 3,312.16
  4. Step 4: Simplify right side
    5,670.47x = 25,914,668.06
  5. Step 5: Solve for x
    x = 25,914,668.06/5,670.47
  6. Step 6: Final answer
    x = 4,570.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.