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Finding the Fourth Proportional to 4,875.32, 6,724.49 and 4,712.60

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Solution

The fourth proportional to 4,875.32, 6,724.49 and 4,712.60 is: 6,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.32 : 6,724.49 = 4,712.60 : x
  2. Step 2: Convert to fraction form
    4,875.32/6,724.49 = 4,712.60/x
  3. Step 3: Cross multiply
    4,875.32x = 6,724.49 × 4,712.60
  4. Step 4: Simplify right side
    4,875.32x = 31,689,774.39
  5. Step 5: Solve for x
    x = 31,689,774.39/4,875.32
  6. Step 6: Final answer
    x = 6,500.05

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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.