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Finding the Fourth Proportional to 5,770.64, 8,656.16 and 4,852.10

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Solution

The fourth proportional to 5,770.64, 8,656.16 and 4,852.10 is: 7,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.64 : 8,656.16 = 4,852.10 : x
  2. Step 2: Convert to fraction form
    5,770.64/8,656.16 = 4,852.10/x
  3. Step 3: Cross multiply
    5,770.64x = 8,656.16 × 4,852.10
  4. Step 4: Simplify right side
    5,770.64x = 42,000,486.39
  5. Step 5: Solve for x
    x = 42,000,486.39/5,770.64
  6. Step 6: Final answer
    x = 7,278.31

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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.