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Finding the Fourth Proportional to 4,509.21, 6,764.15 and 1,547.87

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Solution

The fourth proportional to 4,509.21, 6,764.15 and 1,547.87 is: 2,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.21 : 6,764.15 = 1,547.87 : x
  2. Step 2: Convert to fraction form
    4,509.21/6,764.15 = 1,547.87/x
  3. Step 3: Cross multiply
    4,509.21x = 6,764.15 × 1,547.87
  4. Step 4: Simplify right side
    4,509.21x = 10,470,017.12
  5. Step 5: Solve for x
    x = 10,470,017.12/4,509.21
  6. Step 6: Final answer
    x = 2,321.92

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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.