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Finding the Fourth Proportional to 4,130.96, 6,199.20 and 1,534.16

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Solution

The fourth proportional to 4,130.96, 6,199.20 and 1,534.16 is: 2,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.96 : 6,199.20 = 1,534.16 : x
  2. Step 2: Convert to fraction form
    4,130.96/6,199.20 = 1,534.16/x
  3. Step 3: Cross multiply
    4,130.96x = 6,199.20 × 1,534.16
  4. Step 4: Simplify right side
    4,130.96x = 9,510,564.67
  5. Step 5: Solve for x
    x = 9,510,564.67/4,130.96
  6. Step 6: Final answer
    x = 2,302.27

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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.