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Finding the Fourth Proportional to 5,315.64, 7,335.82 and 4,429.96

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Solution

The fourth proportional to 5,315.64, 7,335.82 and 4,429.96 is: 6,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.64 : 7,335.82 = 4,429.96 : x
  2. Step 2: Convert to fraction form
    5,315.64/7,335.82 = 4,429.96/x
  3. Step 3: Cross multiply
    5,315.64x = 7,335.82 × 4,429.96
  4. Step 4: Simplify right side
    5,315.64x = 32,497,389.17
  5. Step 5: Solve for x
    x = 32,497,389.17/5,315.64
  6. Step 6: Final answer
    x = 6,113.54

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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.