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Finding the Fourth Proportional to 5,788.10, 7,987.59 and 3,430.10

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Solution

The fourth proportional to 5,788.10, 7,987.59 and 3,430.10 is: 4,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.10 : 7,987.59 = 3,430.10 : x
  2. Step 2: Convert to fraction form
    5,788.10/7,987.59 = 3,430.10/x
  3. Step 3: Cross multiply
    5,788.10x = 7,987.59 × 3,430.10
  4. Step 4: Simplify right side
    5,788.10x = 27,398,192.52
  5. Step 5: Solve for x
    x = 27,398,192.52/5,788.10
  6. Step 6: Final answer
    x = 4,733.54

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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.