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Finding the Fourth Proportional to 5,115, 7,672.56 and 1,417.32

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Solution

The fourth proportional to 5,115, 7,672.56 and 1,417.32 is: 2,126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115 : 7,672.56 = 1,417.32 : x
  2. Step 2: Convert to fraction form
    5,115/7,672.56 = 1,417.32/x
  3. Step 3: Cross multiply
    5,115x = 7,672.56 × 1,417.32
  4. Step 4: Simplify right side
    5,115x = 10,874,472.74
  5. Step 5: Solve for x
    x = 10,874,472.74/5,115
  6. Step 6: Final answer
    x = 2,126.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.