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Finding the Fourth Proportional to 4,347.19, 6,513.63 and 4,185.46

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Solution

The fourth proportional to 4,347.19, 6,513.63 and 4,185.46 is: 6,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.19 : 6,513.63 = 4,185.46 : x
  2. Step 2: Convert to fraction form
    4,347.19/6,513.63 = 4,185.46/x
  3. Step 3: Cross multiply
    4,347.19x = 6,513.63 × 4,185.46
  4. Step 4: Simplify right side
    4,347.19x = 27,262,537.82
  5. Step 5: Solve for x
    x = 27,262,537.82/4,347.19
  6. Step 6: Final answer
    x = 6,271.30

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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.