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Finding the Fourth Proportional to 4,751.36, 6,583.36 and 4,643.84

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Solution

The fourth proportional to 4,751.36, 6,583.36 and 4,643.84 is: 6,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.36 : 6,583.36 = 4,643.84 : x
  2. Step 2: Convert to fraction form
    4,751.36/6,583.36 = 4,643.84/x
  3. Step 3: Cross multiply
    4,751.36x = 6,583.36 × 4,643.84
  4. Step 4: Simplify right side
    4,751.36x = 30,572,070.50
  5. Step 5: Solve for x
    x = 30,572,070.50/4,751.36
  6. Step 6: Final answer
    x = 6,434.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.