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Finding the Fourth Proportional to 4,694.34, 6,477.08 and 2,925.30

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Solution

The fourth proportional to 4,694.34, 6,477.08 and 2,925.30 is: 4,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.34 : 6,477.08 = 2,925.30 : x
  2. Step 2: Convert to fraction form
    4,694.34/6,477.08 = 2,925.30/x
  3. Step 3: Cross multiply
    4,694.34x = 6,477.08 × 2,925.30
  4. Step 4: Simplify right side
    4,694.34x = 18,947,402.12
  5. Step 5: Solve for x
    x = 18,947,402.12/4,694.34
  6. Step 6: Final answer
    x = 4,036.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.