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Finding the Fourth Proportional to 5,872.68, 8,810.78 and 2,364.30

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Solution

The fourth proportional to 5,872.68, 8,810.78 and 2,364.30 is: 3,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.68 : 8,810.78 = 2,364.30 : x
  2. Step 2: Convert to fraction form
    5,872.68/8,810.78 = 2,364.30/x
  3. Step 3: Cross multiply
    5,872.68x = 8,810.78 × 2,364.30
  4. Step 4: Simplify right side
    5,872.68x = 20,831,315.33
  5. Step 5: Solve for x
    x = 20,831,315.33/5,872.68
  6. Step 6: Final answer
    x = 3,547.16

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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.