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Finding the Fourth Proportional to 4,875.72, 7,315.14 and 2,280.44

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Solution

The fourth proportional to 4,875.72, 7,315.14 and 2,280.44 is: 3,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.72 : 7,315.14 = 2,280.44 : x
  2. Step 2: Convert to fraction form
    4,875.72/7,315.14 = 2,280.44/x
  3. Step 3: Cross multiply
    4,875.72x = 7,315.14 × 2,280.44
  4. Step 4: Simplify right side
    4,875.72x = 16,681,737.86
  5. Step 5: Solve for x
    x = 16,681,737.86/4,875.72
  6. Step 6: Final answer
    x = 3,421.39

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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.