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Finding the Fourth Proportional to 3,430.93, 5,148.60 and 1,239.46

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Solution

The fourth proportional to 3,430.93, 5,148.60 and 1,239.46 is: 1,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.93 : 5,148.60 = 1,239.46 : x
  2. Step 2: Convert to fraction form
    3,430.93/5,148.60 = 1,239.46/x
  3. Step 3: Cross multiply
    3,430.93x = 5,148.60 × 1,239.46
  4. Step 4: Simplify right side
    3,430.93x = 6,381,483.76
  5. Step 5: Solve for x
    x = 6,381,483.76/3,430.93
  6. Step 6: Final answer
    x = 1,859.99

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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.