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Finding the Fourth Proportional to 5,325.54, 7,987.77 and 1,430.34

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Solution

The fourth proportional to 5,325.54, 7,987.77 and 1,430.34 is: 2,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.54 : 7,987.77 = 1,430.34 : x
  2. Step 2: Convert to fraction form
    5,325.54/7,987.77 = 1,430.34/x
  3. Step 3: Cross multiply
    5,325.54x = 7,987.77 × 1,430.34
  4. Step 4: Simplify right side
    5,325.54x = 11,425,226.94
  5. Step 5: Solve for x
    x = 11,425,226.94/5,325.54
  6. Step 6: Final answer
    x = 2,145.36

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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.