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Finding the Fourth Proportional to 4,657.58, 6,426.68 and 2,770.28

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Solution

The fourth proportional to 4,657.58, 6,426.68 and 2,770.28 is: 3,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.58 : 6,426.68 = 2,770.28 : x
  2. Step 2: Convert to fraction form
    4,657.58/6,426.68 = 2,770.28/x
  3. Step 3: Cross multiply
    4,657.58x = 6,426.68 × 2,770.28
  4. Step 4: Simplify right side
    4,657.58x = 17,803,703.07
  5. Step 5: Solve for x
    x = 17,803,703.07/4,657.58
  6. Step 6: Final answer
    x = 3,822.52

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