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Finding the Fourth Proportional to 5,315.64, 7,335 and 3,219.36

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Solution

The fourth proportional to 5,315.64, 7,335 and 3,219.36 is: 4,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.64 : 7,335 = 3,219.36 : x
  2. Step 2: Convert to fraction form
    5,315.64/7,335 = 3,219.36/x
  3. Step 3: Cross multiply
    5,315.64x = 7,335 × 3,219.36
  4. Step 4: Simplify right side
    5,315.64x = 23,614,005.60
  5. Step 5: Solve for x
    x = 23,614,005.60/5,315.64
  6. Step 6: Final answer
    x = 4,442.36

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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.