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Finding the Fourth Proportional to 4,585.75, 6,878.72 and 1,507.75

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Solution

The fourth proportional to 4,585.75, 6,878.72 and 1,507.75 is: 2,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.75 : 6,878.72 = 1,507.75 : x
  2. Step 2: Convert to fraction form
    4,585.75/6,878.72 = 1,507.75/x
  3. Step 3: Cross multiply
    4,585.75x = 6,878.72 × 1,507.75
  4. Step 4: Simplify right side
    4,585.75x = 10,371,390.08
  5. Step 5: Solve for x
    x = 10,371,390.08/4,585.75
  6. Step 6: Final answer
    x = 2,261.66

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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.