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Finding the Fourth Proportional to 4,709.87, 7,065.09 and 1,547.52

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Solution

The fourth proportional to 4,709.87, 7,065.09 and 1,547.52 is: 2,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.87 : 7,065.09 = 1,547.52 : x
  2. Step 2: Convert to fraction form
    4,709.87/7,065.09 = 1,547.52/x
  3. Step 3: Cross multiply
    4,709.87x = 7,065.09 × 1,547.52
  4. Step 4: Simplify right side
    4,709.87x = 10,933,381.32
  5. Step 5: Solve for x
    x = 10,933,381.32/4,709.87
  6. Step 6: Final answer
    x = 2,321.38

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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.