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Finding the Fourth Proportional to 4,308.60, 6,462.90 and 1,538.40

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Solution

The fourth proportional to 4,308.60, 6,462.90 and 1,538.40 is: 2,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.60 : 6,462.90 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    4,308.60/6,462.90 = 1,538.40/x
  3. Step 3: Cross multiply
    4,308.60x = 6,462.90 × 1,538.40
  4. Step 4: Simplify right side
    4,308.60x = 9,942,525.36
  5. Step 5: Solve for x
    x = 9,942,525.36/4,308.60
  6. Step 6: Final answer
    x = 2,307.60

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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.