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Finding the Fourth Proportional to 4,707.42, 7,061.72 and 1,544.80

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Solution

The fourth proportional to 4,707.42, 7,061.72 and 1,544.80 is: 2,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.42 : 7,061.72 = 1,544.80 : x
  2. Step 2: Convert to fraction form
    4,707.42/7,061.72 = 1,544.80/x
  3. Step 3: Cross multiply
    4,707.42x = 7,061.72 × 1,544.80
  4. Step 4: Simplify right side
    4,707.42x = 10,908,945.06
  5. Step 5: Solve for x
    x = 10,908,945.06/4,707.42
  6. Step 6: Final answer
    x = 2,317.39

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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.