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Finding the Fourth Proportional to 5,145.16, 7,673.84 and 5,056.30

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Solution

The fourth proportional to 5,145.16, 7,673.84 and 5,056.30 is: 7,541.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.16 : 7,673.84 = 5,056.30 : x
  2. Step 2: Convert to fraction form
    5,145.16/7,673.84 = 5,056.30/x
  3. Step 3: Cross multiply
    5,145.16x = 7,673.84 × 5,056.30
  4. Step 4: Simplify right side
    5,145.16x = 38,801,237.19
  5. Step 5: Solve for x
    x = 38,801,237.19/5,145.16
  6. Step 6: Final answer
    x = 7,541.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.