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Finding the Fourth Proportional to 4,724.76, 7,088.01 and 1,952.94

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Solution

The fourth proportional to 4,724.76, 7,088.01 and 1,952.94 is: 2,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.76 : 7,088.01 = 1,952.94 : x
  2. Step 2: Convert to fraction form
    4,724.76/7,088.01 = 1,952.94/x
  3. Step 3: Cross multiply
    4,724.76x = 7,088.01 × 1,952.94
  4. Step 4: Simplify right side
    4,724.76x = 13,842,458.25
  5. Step 5: Solve for x
    x = 13,842,458.25/4,724.76
  6. Step 6: Final answer
    x = 2,929.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.