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Finding the Fourth Proportional to 4,872.82, 7,307.53 and 1,585.30

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Solution

The fourth proportional to 4,872.82, 7,307.53 and 1,585.30 is: 2,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.82 : 7,307.53 = 1,585.30 : x
  2. Step 2: Convert to fraction form
    4,872.82/7,307.53 = 1,585.30/x
  3. Step 3: Cross multiply
    4,872.82x = 7,307.53 × 1,585.30
  4. Step 4: Simplify right side
    4,872.82x = 11,584,627.31
  5. Step 5: Solve for x
    x = 11,584,627.31/4,872.82
  6. Step 6: Final answer
    x = 2,377.40

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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.