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Finding the Fourth Proportional to 4,575.84, 6,314.76 and 2,806.40

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Solution

The fourth proportional to 4,575.84, 6,314.76 and 2,806.40 is: 3,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.84 : 6,314.76 = 2,806.40 : x
  2. Step 2: Convert to fraction form
    4,575.84/6,314.76 = 2,806.40/x
  3. Step 3: Cross multiply
    4,575.84x = 6,314.76 × 2,806.40
  4. Step 4: Simplify right side
    4,575.84x = 17,721,742.46
  5. Step 5: Solve for x
    x = 17,721,742.46/4,575.84
  6. Step 6: Final answer
    x = 3,872.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.