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Finding the Fourth Proportional to 5,716, 7,888.08 and 3,508

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Solution

The fourth proportional to 5,716, 7,888.08 and 3,508 is: 4,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716 : 7,888.08 = 3,508 : x
  2. Step 2: Convert to fraction form
    5,716/7,888.08 = 3,508/x
  3. Step 3: Cross multiply
    5,716x = 7,888.08 × 3,508
  4. Step 4: Simplify right side
    5,716x = 27,671,384.64
  5. Step 5: Solve for x
    x = 27,671,384.64/5,716
  6. Step 6: Final answer
    x = 4,841.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.