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Finding the Fourth Proportional to 4,703.22, 7,054.86 and 1,416.30

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Solution

The fourth proportional to 4,703.22, 7,054.86 and 1,416.30 is: 2,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.22 : 7,054.86 = 1,416.30 : x
  2. Step 2: Convert to fraction form
    4,703.22/7,054.86 = 1,416.30/x
  3. Step 3: Cross multiply
    4,703.22x = 7,054.86 × 1,416.30
  4. Step 4: Simplify right side
    4,703.22x = 9,991,798.22
  5. Step 5: Solve for x
    x = 9,991,798.22/4,703.22
  6. Step 6: Final answer
    x = 2,124.46

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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.