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Finding the Fourth Proportional to 4,287.06, 6,430.05 and 1,690.20

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Solution

The fourth proportional to 4,287.06, 6,430.05 and 1,690.20 is: 2,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.06 : 6,430.05 = 1,690.20 : x
  2. Step 2: Convert to fraction form
    4,287.06/6,430.05 = 1,690.20/x
  3. Step 3: Cross multiply
    4,287.06x = 6,430.05 × 1,690.20
  4. Step 4: Simplify right side
    4,287.06x = 10,868,070.51
  5. Step 5: Solve for x
    x = 10,868,070.51/4,287.06
  6. Step 6: Final answer
    x = 2,535.09

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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.