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Finding the Fourth Proportional to 4,698.22, 7,047.14 and 1,188.18

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Solution

The fourth proportional to 4,698.22, 7,047.14 and 1,188.18 is: 1,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.22 : 7,047.14 = 1,188.18 : x
  2. Step 2: Convert to fraction form
    4,698.22/7,047.14 = 1,188.18/x
  3. Step 3: Cross multiply
    4,698.22x = 7,047.14 × 1,188.18
  4. Step 4: Simplify right side
    4,698.22x = 8,373,270.81
  5. Step 5: Solve for x
    x = 8,373,270.81/4,698.22
  6. Step 6: Final answer
    x = 1,782.22

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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.