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Finding the Fourth Proportional to 5,670.52, 7,822.26 and 3,312.28

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Solution

The fourth proportional to 5,670.52, 7,822.26 and 3,312.28 is: 4,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.52 : 7,822.26 = 3,312.28 : x
  2. Step 2: Convert to fraction form
    5,670.52/7,822.26 = 3,312.28/x
  3. Step 3: Cross multiply
    5,670.52x = 7,822.26 × 3,312.28
  4. Step 4: Simplify right side
    5,670.52x = 25,909,515.35
  5. Step 5: Solve for x
    x = 25,909,515.35/5,670.52
  6. Step 6: Final answer
    x = 4,569.16

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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.