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Finding the Fourth Proportional to 5,047.19, 7,570.19 and 1,349.70

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Solution

The fourth proportional to 5,047.19, 7,570.19 and 1,349.70 is: 2,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.19 : 7,570.19 = 1,349.70 : x
  2. Step 2: Convert to fraction form
    5,047.19/7,570.19 = 1,349.70/x
  3. Step 3: Cross multiply
    5,047.19x = 7,570.19 × 1,349.70
  4. Step 4: Simplify right side
    5,047.19x = 10,217,516.71
  5. Step 5: Solve for x
    x = 10,217,516.71/5,047.19
  6. Step 6: Final answer
    x = 2,024.40

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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.