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Finding the Fourth Proportional to 5,638.16, 8,457.40 and 1,534.16

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Solution

The fourth proportional to 5,638.16, 8,457.40 and 1,534.16 is: 2,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.16 : 8,457.40 = 1,534.16 : x
  2. Step 2: Convert to fraction form
    5,638.16/8,457.40 = 1,534.16/x
  3. Step 3: Cross multiply
    5,638.16x = 8,457.40 × 1,534.16
  4. Step 4: Simplify right side
    5,638.16x = 12,975,004.78
  5. Step 5: Solve for x
    x = 12,975,004.78/5,638.16
  6. Step 6: Final answer
    x = 2,301.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.