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Finding the Fourth Proportional to 5,298.68, 7,312.64 and 2,941.28

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Solution

The fourth proportional to 5,298.68, 7,312.64 and 2,941.28 is: 4,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.68 : 7,312.64 = 2,941.28 : x
  2. Step 2: Convert to fraction form
    5,298.68/7,312.64 = 2,941.28/x
  3. Step 3: Cross multiply
    5,298.68x = 7,312.64 × 2,941.28
  4. Step 4: Simplify right side
    5,298.68x = 21,508,521.78
  5. Step 5: Solve for x
    x = 21,508,521.78/5,298.68
  6. Step 6: Final answer
    x = 4,059.22

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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.