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Finding the Fourth Proportional to 5,948.58, 8,210.19 and 3,432.32

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Solution

The fourth proportional to 5,948.58, 8,210.19 and 3,432.32 is: 4,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.58 : 8,210.19 = 3,432.32 : x
  2. Step 2: Convert to fraction form
    5,948.58/8,210.19 = 3,432.32/x
  3. Step 3: Cross multiply
    5,948.58x = 8,210.19 × 3,432.32
  4. Step 4: Simplify right side
    5,948.58x = 28,180,001.95
  5. Step 5: Solve for x
    x = 28,180,001.95/5,948.58
  6. Step 6: Final answer
    x = 4,737.26

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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.