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Finding the Fourth Proportional to 4,130.84, 5,700.66 and 2,267.84

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Solution

The fourth proportional to 4,130.84, 5,700.66 and 2,267.84 is: 3,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.84 : 5,700.66 = 2,267.84 : x
  2. Step 2: Convert to fraction form
    4,130.84/5,700.66 = 2,267.84/x
  3. Step 3: Cross multiply
    4,130.84x = 5,700.66 × 2,267.84
  4. Step 4: Simplify right side
    4,130.84x = 12,928,184.77
  5. Step 5: Solve for x
    x = 12,928,184.77/4,130.84
  6. Step 6: Final answer
    x = 3,129.67

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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.