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Finding the Fourth Proportional to 4,339.82, 6,510.40 and 1,417.44

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Solution

The fourth proportional to 4,339.82, 6,510.40 and 1,417.44 is: 2,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.82 : 6,510.40 = 1,417.44 : x
  2. Step 2: Convert to fraction form
    4,339.82/6,510.40 = 1,417.44/x
  3. Step 3: Cross multiply
    4,339.82x = 6,510.40 × 1,417.44
  4. Step 4: Simplify right side
    4,339.82x = 9,228,101.38
  5. Step 5: Solve for x
    x = 9,228,101.38/4,339.82
  6. Step 6: Final answer
    x = 2,126.38

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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.