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Finding the Fourth Proportional to 4,709.84, 7,065.16 and 1,247.04

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Solution

The fourth proportional to 4,709.84, 7,065.16 and 1,247.04 is: 1,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.84 : 7,065.16 = 1,247.04 : x
  2. Step 2: Convert to fraction form
    4,709.84/7,065.16 = 1,247.04/x
  3. Step 3: Cross multiply
    4,709.84x = 7,065.16 × 1,247.04
  4. Step 4: Simplify right side
    4,709.84x = 8,810,537.13
  5. Step 5: Solve for x
    x = 8,810,537.13/4,709.84
  6. Step 6: Final answer
    x = 1,870.67

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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.