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Finding the Fourth Proportional to 5,307.84, 7,964 and 2,842

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Solution

The fourth proportional to 5,307.84, 7,964 and 2,842 is: 4,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.84 : 7,964 = 2,842 : x
  2. Step 2: Convert to fraction form
    5,307.84/7,964 = 2,842/x
  3. Step 3: Cross multiply
    5,307.84x = 7,964 × 2,842
  4. Step 4: Simplify right side
    5,307.84x = 22,633,688
  5. Step 5: Solve for x
    x = 22,633,688/5,307.84
  6. Step 6: Final answer
    x = 4,264.20

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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.