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Finding the Fourth Proportional to 4,322.90, 6,483.64 and 1,549.16

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Solution

The fourth proportional to 4,322.90, 6,483.64 and 1,549.16 is: 2,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.90 : 6,483.64 = 1,549.16 : x
  2. Step 2: Convert to fraction form
    4,322.90/6,483.64 = 1,549.16/x
  3. Step 3: Cross multiply
    4,322.90x = 6,483.64 × 1,549.16
  4. Step 4: Simplify right side
    4,322.90x = 10,044,188.00
  5. Step 5: Solve for x
    x = 10,044,188.00/4,322.90
  6. Step 6: Final answer
    x = 2,323.48

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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.