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Finding the Fourth Proportional to 4,948.32, 7,411.14 and 3,211.68

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Solution

The fourth proportional to 4,948.32, 7,411.14 and 3,211.68 is: 4,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.32 : 7,411.14 = 3,211.68 : x
  2. Step 2: Convert to fraction form
    4,948.32/7,411.14 = 3,211.68/x
  3. Step 3: Cross multiply
    4,948.32x = 7,411.14 × 3,211.68
  4. Step 4: Simplify right side
    4,948.32x = 23,802,210.12
  5. Step 5: Solve for x
    x = 23,802,210.12/4,948.32
  6. Step 6: Final answer
    x = 4,810.16

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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.