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Finding the Fourth Proportional to 5,763.84, 8,648 and 2,303.52

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Solution

The fourth proportional to 5,763.84, 8,648 and 2,303.52 is: 3,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.84 : 8,648 = 2,303.52 : x
  2. Step 2: Convert to fraction form
    5,763.84/8,648 = 2,303.52/x
  3. Step 3: Cross multiply
    5,763.84x = 8,648 × 2,303.52
  4. Step 4: Simplify right side
    5,763.84x = 19,920,840.96
  5. Step 5: Solve for x
    x = 19,920,840.96/5,763.84
  6. Step 6: Final answer
    x = 3,456.18

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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.