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Finding the Fourth Proportional to 6,225.28, 8,590.02 and 3,430.84

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Solution

The fourth proportional to 6,225.28, 8,590.02 and 3,430.84 is: 4,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.28 : 8,590.02 = 3,430.84 : x
  2. Step 2: Convert to fraction form
    6,225.28/8,590.02 = 3,430.84/x
  3. Step 3: Cross multiply
    6,225.28x = 8,590.02 × 3,430.84
  4. Step 4: Simplify right side
    6,225.28x = 29,470,984.22
  5. Step 5: Solve for x
    x = 29,470,984.22/6,225.28
  6. Step 6: Final answer
    x = 4,734.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.