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Finding the Fourth Proportional to 5,946.60, 8,210.33 and 5,315.10

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Solution

The fourth proportional to 5,946.60, 8,210.33 and 5,315.10 is: 7,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.60 : 8,210.33 = 5,315.10 : x
  2. Step 2: Convert to fraction form
    5,946.60/8,210.33 = 5,315.10/x
  3. Step 3: Cross multiply
    5,946.60x = 8,210.33 × 5,315.10
  4. Step 4: Simplify right side
    5,946.60x = 43,638,698.41
  5. Step 5: Solve for x
    x = 43,638,698.41/5,946.60
  6. Step 6: Final answer
    x = 7,338.43

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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.