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Finding the Fourth Proportional to 4,775.58, 6,592.05 and 4,182.66

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Solution

The fourth proportional to 4,775.58, 6,592.05 and 4,182.66 is: 5,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.58 : 6,592.05 = 4,182.66 : x
  2. Step 2: Convert to fraction form
    4,775.58/6,592.05 = 4,182.66/x
  3. Step 3: Cross multiply
    4,775.58x = 6,592.05 × 4,182.66
  4. Step 4: Simplify right side
    4,775.58x = 27,572,303.85
  5. Step 5: Solve for x
    x = 27,572,303.85/4,775.58
  6. Step 6: Final answer
    x = 5,773.60

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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.