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Finding the Fourth Proportional to 5,384.60, 7,430.67 and 3,026.74

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Solution

The fourth proportional to 5,384.60, 7,430.67 and 3,026.74 is: 4,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.60 : 7,430.67 = 3,026.74 : x
  2. Step 2: Convert to fraction form
    5,384.60/7,430.67 = 3,026.74/x
  3. Step 3: Cross multiply
    5,384.60x = 7,430.67 × 3,026.74
  4. Step 4: Simplify right side
    5,384.60x = 22,490,690.98
  5. Step 5: Solve for x
    x = 22,490,690.98/5,384.60
  6. Step 6: Final answer
    x = 4,176.86

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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.