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Finding the Fourth Proportional to 4,120, 5,688.48 and 2,875.84

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Solution

The fourth proportional to 4,120, 5,688.48 and 2,875.84 is: 3,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120 : 5,688.48 = 2,875.84 : x
  2. Step 2: Convert to fraction form
    4,120/5,688.48 = 2,875.84/x
  3. Step 3: Cross multiply
    4,120x = 5,688.48 × 2,875.84
  4. Step 4: Simplify right side
    4,120x = 16,359,158.32
  5. Step 5: Solve for x
    x = 16,359,158.32/4,120
  6. Step 6: Final answer
    x = 3,970.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.