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Finding the Fourth Proportional to 6,095.70, 8,411.40 and 3,442.50

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Solution

The fourth proportional to 6,095.70, 8,411.40 and 3,442.50 is: 4,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.70 : 8,411.40 = 3,442.50 : x
  2. Step 2: Convert to fraction form
    6,095.70/8,411.40 = 3,442.50/x
  3. Step 3: Cross multiply
    6,095.70x = 8,411.40 × 3,442.50
  4. Step 4: Simplify right side
    6,095.70x = 28,956,244.50
  5. Step 5: Solve for x
    x = 28,956,244.50/6,095.70
  6. Step 6: Final answer
    x = 4,750.27

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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.