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Finding the Fourth Proportional to 4,683.60, 7,012.44 and 2,363.76

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Solution

The fourth proportional to 4,683.60, 7,012.44 and 2,363.76 is: 3,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.60 : 7,012.44 = 2,363.76 : x
  2. Step 2: Convert to fraction form
    4,683.60/7,012.44 = 2,363.76/x
  3. Step 3: Cross multiply
    4,683.60x = 7,012.44 × 2,363.76
  4. Step 4: Simplify right side
    4,683.60x = 16,575,725.17
  5. Step 5: Solve for x
    x = 16,575,725.17/4,683.60
  6. Step 6: Final answer
    x = 3,539.10

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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.