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Finding the Fourth Proportional to 5,767.51, 7,959.16 and 3,114.91

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Solution

The fourth proportional to 5,767.51, 7,959.16 and 3,114.91 is: 4,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.51 : 7,959.16 = 3,114.91 : x
  2. Step 2: Convert to fraction form
    5,767.51/7,959.16 = 3,114.91/x
  3. Step 3: Cross multiply
    5,767.51x = 7,959.16 × 3,114.91
  4. Step 4: Simplify right side
    5,767.51x = 24,792,051.50
  5. Step 5: Solve for x
    x = 24,792,051.50/5,767.51
  6. Step 6: Final answer
    x = 4,298.57

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1.5x scale

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.