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Finding the Fourth Proportional to 4,574.76, 6,862.14 and 1,112

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Solution

The fourth proportional to 4,574.76, 6,862.14 and 1,112 is: 1,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.76 : 6,862.14 = 1,112 : x
  2. Step 2: Convert to fraction form
    4,574.76/6,862.14 = 1,112/x
  3. Step 3: Cross multiply
    4,574.76x = 6,862.14 × 1,112
  4. Step 4: Simplify right side
    4,574.76x = 7,630,699.68
  5. Step 5: Solve for x
    x = 7,630,699.68/4,574.76
  6. Step 6: Final answer
    x = 1,668

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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.