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Finding the Fourth Proportional to 4,652.58, 6,981.12 and 2,312.82

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Solution

The fourth proportional to 4,652.58, 6,981.12 and 2,312.82 is: 3,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.58 : 6,981.12 = 2,312.82 : x
  2. Step 2: Convert to fraction form
    4,652.58/6,981.12 = 2,312.82/x
  3. Step 3: Cross multiply
    4,652.58x = 6,981.12 × 2,312.82
  4. Step 4: Simplify right side
    4,652.58x = 16,146,073.96
  5. Step 5: Solve for x
    x = 16,146,073.96/4,652.58
  6. Step 6: Final answer
    x = 3,470.35

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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.