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Finding the Fourth Proportional to 4,649.12, 6,973.44 and 1,186.16

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Solution

The fourth proportional to 4,649.12, 6,973.44 and 1,186.16 is: 1,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.12 : 6,973.44 = 1,186.16 : x
  2. Step 2: Convert to fraction form
    4,649.12/6,973.44 = 1,186.16/x
  3. Step 3: Cross multiply
    4,649.12x = 6,973.44 × 1,186.16
  4. Step 4: Simplify right side
    4,649.12x = 8,271,615.59
  5. Step 5: Solve for x
    x = 8,271,615.59/4,649.12
  6. Step 6: Final answer
    x = 1,779.18

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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.