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Finding the Fourth Proportional to 6,225.13, 8,590.83 and 3,430.63

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Solution

The fourth proportional to 6,225.13, 8,590.83 and 3,430.63 is: 4,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.13 : 8,590.83 = 3,430.63 : x
  2. Step 2: Convert to fraction form
    6,225.13/8,590.83 = 3,430.63/x
  3. Step 3: Cross multiply
    6,225.13x = 8,590.83 × 3,430.63
  4. Step 4: Simplify right side
    6,225.13x = 29,471,959.12
  5. Step 5: Solve for x
    x = 29,471,959.12/6,225.13
  6. Step 6: Final answer
    x = 4,734.35

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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.