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Finding the Fourth Proportional to 5,792.34, 8,688.60 and 1,409.88

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Solution

The fourth proportional to 5,792.34, 8,688.60 and 1,409.88 is: 2,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.34 : 8,688.60 = 1,409.88 : x
  2. Step 2: Convert to fraction form
    5,792.34/8,688.60 = 1,409.88/x
  3. Step 3: Cross multiply
    5,792.34x = 8,688.60 × 1,409.88
  4. Step 4: Simplify right side
    5,792.34x = 12,249,883.37
  5. Step 5: Solve for x
    x = 12,249,883.37/5,792.34
  6. Step 6: Final answer
    x = 2,114.84

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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.