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Finding the Fourth Proportional to 4,678.36, 6,455.23 and 2,689.00

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Solution

The fourth proportional to 4,678.36, 6,455.23 and 2,689.00 is: 3,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.36 : 6,455.23 = 2,689.00 : x
  2. Step 2: Convert to fraction form
    4,678.36/6,455.23 = 2,689.00/x
  3. Step 3: Cross multiply
    4,678.36x = 6,455.23 × 2,689.00
  4. Step 4: Simplify right side
    4,678.36x = 17,358,090.61
  5. Step 5: Solve for x
    x = 17,358,090.61/4,678.36
  6. Step 6: Final answer
    x = 3,710.30

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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.