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Finding the Fourth Proportional to 4,567.48, 6,842.36 and 3,002.76

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Solution

The fourth proportional to 4,567.48, 6,842.36 and 3,002.76 is: 4,498.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.48 : 6,842.36 = 3,002.76 : x
  2. Step 2: Convert to fraction form
    4,567.48/6,842.36 = 3,002.76/x
  3. Step 3: Cross multiply
    4,567.48x = 6,842.36 × 3,002.76
  4. Step 4: Simplify right side
    4,567.48x = 20,545,972.42
  5. Step 5: Solve for x
    x = 20,545,972.42/4,567.48
  6. Step 6: Final answer
    x = 4,498.32

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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.