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Finding the Fourth Proportional to 5,742.68, 7,925.02 and 3,385.40

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Solution

The fourth proportional to 5,742.68, 7,925.02 and 3,385.40 is: 4,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.68 : 7,925.02 = 3,385.40 : x
  2. Step 2: Convert to fraction form
    5,742.68/7,925.02 = 3,385.40/x
  3. Step 3: Cross multiply
    5,742.68x = 7,925.02 × 3,385.40
  4. Step 4: Simplify right side
    5,742.68x = 26,829,362.71
  5. Step 5: Solve for x
    x = 26,829,362.71/5,742.68
  6. Step 6: Final answer
    x = 4,671.92

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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.