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Finding the Fourth Proportional to 4,713.06, 6,489.12 and 3,590.40

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Solution

The fourth proportional to 4,713.06, 6,489.12 and 3,590.40 is: 4,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.06 : 6,489.12 = 3,590.40 : x
  2. Step 2: Convert to fraction form
    4,713.06/6,489.12 = 3,590.40/x
  3. Step 3: Cross multiply
    4,713.06x = 6,489.12 × 3,590.40
  4. Step 4: Simplify right side
    4,713.06x = 23,298,536.45
  5. Step 5: Solve for x
    x = 23,298,536.45/4,713.06
  6. Step 6: Final answer
    x = 4,943.40

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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.