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Finding the Fourth Proportional to 4,590.78, 6,881.57 and 2,506.47

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Solution

The fourth proportional to 4,590.78, 6,881.57 and 2,506.47 is: 3,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.78 : 6,881.57 = 2,506.47 : x
  2. Step 2: Convert to fraction form
    4,590.78/6,881.57 = 2,506.47/x
  3. Step 3: Cross multiply
    4,590.78x = 6,881.57 × 2,506.47
  4. Step 4: Simplify right side
    4,590.78x = 17,248,436.23
  5. Step 5: Solve for x
    x = 17,248,436.23/4,590.78
  6. Step 6: Final answer
    x = 3,757.19

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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.