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Finding the Fourth Proportional to 5,130.40, 7,695.60 and 4,266.40

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Solution

The fourth proportional to 5,130.40, 7,695.60 and 4,266.40 is: 6,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.40 : 7,695.60 = 4,266.40 : x
  2. Step 2: Convert to fraction form
    5,130.40/7,695.60 = 4,266.40/x
  3. Step 3: Cross multiply
    5,130.40x = 7,695.60 × 4,266.40
  4. Step 4: Simplify right side
    5,130.40x = 32,832,507.84
  5. Step 5: Solve for x
    x = 32,832,507.84/5,130.40
  6. Step 6: Final answer
    x = 6,399.60

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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.