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Finding the Fourth Proportional to 4,506, 6,760.08 and 1,428

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Solution

The fourth proportional to 4,506, 6,760.08 and 1,428 is: 2,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 6,760.08 = 1,428 : x
  2. Step 2: Convert to fraction form
    4,506/6,760.08 = 1,428/x
  3. Step 3: Cross multiply
    4,506x = 6,760.08 × 1,428
  4. Step 4: Simplify right side
    4,506x = 9,653,394.24
  5. Step 5: Solve for x
    x = 9,653,394.24/4,506
  6. Step 6: Final answer
    x = 2,142.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.