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Finding the Fourth Proportional to 5,652.19, 7,800 and 3,134.32

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Solution

The fourth proportional to 5,652.19, 7,800 and 3,134.32 is: 4,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.19 : 7,800 = 3,134.32 : x
  2. Step 2: Convert to fraction form
    5,652.19/7,800 = 3,134.32/x
  3. Step 3: Cross multiply
    5,652.19x = 7,800 × 3,134.32
  4. Step 4: Simplify right side
    5,652.19x = 24,447,657
  5. Step 5: Solve for x
    x = 24,447,657/5,652.19
  6. Step 6: Final answer
    x = 4,325.35

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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.