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Finding the Fourth Proportional to 4,666.95, 6,437.54 and 2,777.27

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Solution

The fourth proportional to 4,666.95, 6,437.54 and 2,777.27 is: 3,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.95 : 6,437.54 = 2,777.27 : x
  2. Step 2: Convert to fraction form
    4,666.95/6,437.54 = 2,777.27/x
  3. Step 3: Cross multiply
    4,666.95x = 6,437.54 × 2,777.27
  4. Step 4: Simplify right side
    4,666.95x = 17,878,761.47
  5. Step 5: Solve for x
    x = 17,878,761.47/4,666.95
  6. Step 6: Final answer
    x = 3,830.93

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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.