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Finding the Fourth Proportional to 4,678.99, 6,458.04 and 2,977.14

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Solution

The fourth proportional to 4,678.99, 6,458.04 and 2,977.14 is: 4,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.99 : 6,458.04 = 2,977.14 : x
  2. Step 2: Convert to fraction form
    4,678.99/6,458.04 = 2,977.14/x
  3. Step 3: Cross multiply
    4,678.99x = 6,458.04 × 2,977.14
  4. Step 4: Simplify right side
    4,678.99x = 19,226,508.53
  5. Step 5: Solve for x
    x = 19,226,508.53/4,678.99
  6. Step 6: Final answer
    x = 4,109.11

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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.