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Finding the Fourth Proportional to 3,417.41, 4,714.76 and 2,158.01

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Solution

The fourth proportional to 3,417.41, 4,714.76 and 2,158.01 is: 2,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.41 : 4,714.76 = 2,158.01 : x
  2. Step 2: Convert to fraction form
    3,417.41/4,714.76 = 2,158.01/x
  3. Step 3: Cross multiply
    3,417.41x = 4,714.76 × 2,158.01
  4. Step 4: Simplify right side
    3,417.41x = 10,174,486.59
  5. Step 5: Solve for x
    x = 10,174,486.59/3,417.41
  6. Step 6: Final answer
    x = 2,977.25

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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.