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Finding the Fourth Proportional to 5,946.41, 8,210.16 and 5,315.02

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Solution

The fourth proportional to 5,946.41, 8,210.16 and 5,315.02 is: 7,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.41 : 8,210.16 = 5,315.02 : x
  2. Step 2: Convert to fraction form
    5,946.41/8,210.16 = 5,315.02/x
  3. Step 3: Cross multiply
    5,946.41x = 8,210.16 × 5,315.02
  4. Step 4: Simplify right side
    5,946.41x = 43,637,144.08
  5. Step 5: Solve for x
    x = 43,637,144.08/5,946.41
  6. Step 6: Final answer
    x = 7,338.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.